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Finding the Fourth Proportional to 624.69, 862.53 and 501.03

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Solution

The fourth proportional to 624.69, 862.53 and 501.03 is: 691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.69 : 862.53 = 501.03 : x
  2. Step 2: Convert to fraction form
    624.69/862.53 = 501.03/x
  3. Step 3: Cross multiply
    624.69x = 862.53 × 501.03
  4. Step 4: Simplify right side
    624.69x = 432,153.41
  5. Step 5: Solve for x
    x = 432,153.41/624.69
  6. Step 6: Final answer
    x = 691.79

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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.