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Finding the Fourth Proportional to 508.86, 702.18 and 287.79

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Solution

The fourth proportional to 508.86, 702.18 and 287.79 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 702.18 = 287.79 : x
  2. Step 2: Convert to fraction form
    508.86/702.18 = 287.79/x
  3. Step 3: Cross multiply
    508.86x = 702.18 × 287.79
  4. Step 4: Simplify right side
    508.86x = 202,080.38
  5. Step 5: Solve for x
    x = 202,080.38/508.86
  6. Step 6: Final answer
    x = 397.12

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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.