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Finding the Fourth Proportional to 1,059.41, 1,589.12 and 329.00

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Solution

The fourth proportional to 1,059.41, 1,589.12 and 329.00 is: 493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.41 : 1,589.12 = 329.00 : x
  2. Step 2: Convert to fraction form
    1,059.41/1,589.12 = 329.00/x
  3. Step 3: Cross multiply
    1,059.41x = 1,589.12 × 329.00
  4. Step 4: Simplify right side
    1,059.41x = 522,812.12
  5. Step 5: Solve for x
    x = 522,812.12/1,059.41
  6. Step 6: Final answer
    x = 493.49

Related Problems

Find fourth proportional to 529.71, 794.56 and 164.50
Half scale
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Double scale
Find fourth proportional to 1,060.41, 1,590.62 and 330
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.