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Finding the Fourth Proportional to 475.44, 708.90 and 462.12

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Solution

The fourth proportional to 475.44, 708.90 and 462.12 is: 689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 708.90 = 462.12 : x
  2. Step 2: Convert to fraction form
    475.44/708.90 = 462.12/x
  3. Step 3: Cross multiply
    475.44x = 708.90 × 462.12
  4. Step 4: Simplify right side
    475.44x = 327,596.87
  5. Step 5: Solve for x
    x = 327,596.87/475.44
  6. Step 6: Final answer
    x = 689.04

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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.