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Finding the Fourth Proportional to 470.20, 702.52 and 461.56

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Solution

The fourth proportional to 470.20, 702.52 and 461.56 is: 689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.20 : 702.52 = 461.56 : x
  2. Step 2: Convert to fraction form
    470.20/702.52 = 461.56/x
  3. Step 3: Cross multiply
    470.20x = 702.52 × 461.56
  4. Step 4: Simplify right side
    470.20x = 324,255.13
  5. Step 5: Solve for x
    x = 324,255.13/470.20
  6. Step 6: Final answer
    x = 689.61

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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.