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Finding the Fourth Proportional to 624.48, 932.40 and 537.72

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Solution

The fourth proportional to 624.48, 932.40 and 537.72 is: 802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 932.40 = 537.72 : x
  2. Step 2: Convert to fraction form
    624.48/932.40 = 537.72/x
  3. Step 3: Cross multiply
    624.48x = 932.40 × 537.72
  4. Step 4: Simplify right side
    624.48x = 501,370.13
  5. Step 5: Solve for x
    x = 501,370.13/624.48
  6. Step 6: Final answer
    x = 802.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.