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Finding the Fourth Proportional to 470.80, 707.82 and 458.56

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Solution

The fourth proportional to 470.80, 707.82 and 458.56 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 707.82 = 458.56 : x
  2. Step 2: Convert to fraction form
    470.80/707.82 = 458.56/x
  3. Step 3: Cross multiply
    470.80x = 707.82 × 458.56
  4. Step 4: Simplify right side
    470.80x = 324,577.94
  5. Step 5: Solve for x
    x = 324,577.94/470.80
  6. Step 6: Final answer
    x = 689.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.