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Finding the Fourth Proportional to 470.52, 701.95 and 458.44

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Solution

The fourth proportional to 470.52, 701.95 and 458.44 is: 683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 701.95 = 458.44 : x
  2. Step 2: Convert to fraction form
    470.52/701.95 = 458.44/x
  3. Step 3: Cross multiply
    470.52x = 701.95 × 458.44
  4. Step 4: Simplify right side
    470.52x = 321,796.16
  5. Step 5: Solve for x
    x = 321,796.16/470.52
  6. Step 6: Final answer
    x = 683.92

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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.