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Finding the Fourth Proportional to 475.60, 659.69 and 462.96

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Solution

The fourth proportional to 475.60, 659.69 and 462.96 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 659.69 = 462.96 : x
  2. Step 2: Convert to fraction form
    475.60/659.69 = 462.96/x
  3. Step 3: Cross multiply
    475.60x = 659.69 × 462.96
  4. Step 4: Simplify right side
    475.60x = 305,407.77
  5. Step 5: Solve for x
    x = 305,407.77/475.60
  6. Step 6: Final answer
    x = 642.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.