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Finding the Fourth Proportional to 475.80, 709.50 and 458.88

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Solution

The fourth proportional to 475.80, 709.50 and 458.88 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 709.50 = 458.88 : x
  2. Step 2: Convert to fraction form
    475.80/709.50 = 458.88/x
  3. Step 3: Cross multiply
    475.80x = 709.50 × 458.88
  4. Step 4: Simplify right side
    475.80x = 325,575.36
  5. Step 5: Solve for x
    x = 325,575.36/475.80
  6. Step 6: Final answer
    x = 684.27

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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.