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Finding the Fourth Proportional to 508.57, 702.24 and 322.36

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Solution

The fourth proportional to 508.57, 702.24 and 322.36 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.57 : 702.24 = 322.36 : x
  2. Step 2: Convert to fraction form
    508.57/702.24 = 322.36/x
  3. Step 3: Cross multiply
    508.57x = 702.24 × 322.36
  4. Step 4: Simplify right side
    508.57x = 226,374.09
  5. Step 5: Solve for x
    x = 226,374.09/508.57
  6. Step 6: Final answer
    x = 445.12

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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.