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Finding the Fourth Proportional to 470.88, 702.14 and 460.35

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Solution

The fourth proportional to 470.88, 702.14 and 460.35 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 702.14 = 460.35 : x
  2. Step 2: Convert to fraction form
    470.88/702.14 = 460.35/x
  3. Step 3: Cross multiply
    470.88x = 702.14 × 460.35
  4. Step 4: Simplify right side
    470.88x = 323,227.85
  5. Step 5: Solve for x
    x = 323,227.85/470.88
  6. Step 6: Final answer
    x = 686.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.