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Finding the Fourth Proportional to 508.75, 702.48 and 398.04

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Solution

The fourth proportional to 508.75, 702.48 and 398.04 is: 549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.75 : 702.48 = 398.04 : x
  2. Step 2: Convert to fraction form
    508.75/702.48 = 398.04/x
  3. Step 3: Cross multiply
    508.75x = 702.48 × 398.04
  4. Step 4: Simplify right side
    508.75x = 279,615.14
  5. Step 5: Solve for x
    x = 279,615.14/508.75
  6. Step 6: Final answer
    x = 549.61

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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.