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Finding the Fourth Proportional to 1,087.31, 1,630.76 and 502.28

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Solution

The fourth proportional to 1,087.31, 1,630.76 and 502.28 is: 753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.31 : 1,630.76 = 502.28 : x
  2. Step 2: Convert to fraction form
    1,087.31/1,630.76 = 502.28/x
  3. Step 3: Cross multiply
    1,087.31x = 1,630.76 × 502.28
  4. Step 4: Simplify right side
    1,087.31x = 819,099.70
  5. Step 5: Solve for x
    x = 819,099.70/1,087.31
  6. Step 6: Final answer
    x = 753.33

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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.