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Finding the Fourth Proportional to 1,086.89, 1,630.20 and 437.63

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Solution

The fourth proportional to 1,086.89, 1,630.20 and 437.63 is: 656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.89 : 1,630.20 = 437.63 : x
  2. Step 2: Convert to fraction form
    1,086.89/1,630.20 = 437.63/x
  3. Step 3: Cross multiply
    1,086.89x = 1,630.20 × 437.63
  4. Step 4: Simplify right side
    1,086.89x = 713,424.43
  5. Step 5: Solve for x
    x = 713,424.43/1,086.89
  6. Step 6: Final answer
    x = 656.39

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Double scale
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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.