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Finding the Fourth Proportional to 508.85, 702.16 and 287.76

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Solution

The fourth proportional to 508.85, 702.16 and 287.76 is: 397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.85 : 702.16 = 287.76 : x
  2. Step 2: Convert to fraction form
    508.85/702.16 = 287.76/x
  3. Step 3: Cross multiply
    508.85x = 702.16 × 287.76
  4. Step 4: Simplify right side
    508.85x = 202,053.56
  5. Step 5: Solve for x
    x = 202,053.56/508.85
  6. Step 6: Final answer
    x = 397.08

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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.