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Finding the Fourth Proportional to 1,089.05, 1,633.70 and 439.63

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Solution

The fourth proportional to 1,089.05, 1,633.70 and 439.63 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.05 : 1,633.70 = 439.63 : x
  2. Step 2: Convert to fraction form
    1,089.05/1,633.70 = 439.63/x
  3. Step 3: Cross multiply
    1,089.05x = 1,633.70 × 439.63
  4. Step 4: Simplify right side
    1,089.05x = 718,220.55
  5. Step 5: Solve for x
    x = 718,220.55/1,089.05
  6. Step 6: Final answer
    x = 659.50

Related Problems

Find fourth proportional to 544.52, 816.85 and 219.81
Half scale
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Double scale
Find fourth proportional to 1,090.05, 1,635.20 and 440.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.