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Finding the Fourth Proportional to 508.42, 702.13 and 424.69

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Solution

The fourth proportional to 508.42, 702.13 and 424.69 is: 586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 702.13 = 424.69 : x
  2. Step 2: Convert to fraction form
    508.42/702.13 = 424.69/x
  3. Step 3: Cross multiply
    508.42x = 702.13 × 424.69
  4. Step 4: Simplify right side
    508.42x = 298,188.28
  5. Step 5: Solve for x
    x = 298,188.28/508.42
  6. Step 6: Final answer
    x = 586.51

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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.