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Finding the Fourth Proportional to 642.31, 885.53 and 501.88

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Solution

The fourth proportional to 642.31, 885.53 and 501.88 is: 691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.31 : 885.53 = 501.88 : x
  2. Step 2: Convert to fraction form
    642.31/885.53 = 501.88/x
  3. Step 3: Cross multiply
    642.31x = 885.53 × 501.88
  4. Step 4: Simplify right side
    642.31x = 444,430.50
  5. Step 5: Solve for x
    x = 444,430.50/642.31
  6. Step 6: Final answer
    x = 691.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.