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Finding the Fourth Proportional to 475.12, 708.78 and 458.30

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Solution

The fourth proportional to 475.12, 708.78 and 458.30 is: 683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 708.78 = 458.30 : x
  2. Step 2: Convert to fraction form
    475.12/708.78 = 458.30/x
  3. Step 3: Cross multiply
    475.12x = 708.78 × 458.30
  4. Step 4: Simplify right side
    475.12x = 324,833.87
  5. Step 5: Solve for x
    x = 324,833.87/475.12
  6. Step 6: Final answer
    x = 683.69

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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.