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Finding the Fourth Proportional to 475.66, 657.17 and 406.45

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Solution

The fourth proportional to 475.66, 657.17 and 406.45 is: 561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.66 : 657.17 = 406.45 : x
  2. Step 2: Convert to fraction form
    475.66/657.17 = 406.45/x
  3. Step 3: Cross multiply
    475.66x = 657.17 × 406.45
  4. Step 4: Simplify right side
    475.66x = 267,106.75
  5. Step 5: Solve for x
    x = 267,106.75/475.66
  6. Step 6: Final answer
    x = 561.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.