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Finding the Fourth Proportional to 511.68, 702.34 and 455.18

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Solution

The fourth proportional to 511.68, 702.34 and 455.18 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 702.34 = 455.18 : x
  2. Step 2: Convert to fraction form
    511.68/702.34 = 455.18/x
  3. Step 3: Cross multiply
    511.68x = 702.34 × 455.18
  4. Step 4: Simplify right side
    511.68x = 319,691.12
  5. Step 5: Solve for x
    x = 319,691.12/511.68
  6. Step 6: Final answer
    x = 624.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.