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Finding the Fourth Proportional to 508.86, 702.20 and 287.84

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Solution

The fourth proportional to 508.86, 702.20 and 287.84 is: 397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 702.20 = 287.84 : x
  2. Step 2: Convert to fraction form
    508.86/702.20 = 287.84/x
  3. Step 3: Cross multiply
    508.86x = 702.20 × 287.84
  4. Step 4: Simplify right side
    508.86x = 202,123.72
  5. Step 5: Solve for x
    x = 202,123.72/508.86
  6. Step 6: Final answer
    x = 397.21

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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.