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Finding the Fourth Proportional to 475.90, 660.45 and 456.70

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Solution

The fourth proportional to 475.90, 660.45 and 456.70 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 660.45 = 456.70 : x
  2. Step 2: Convert to fraction form
    475.90/660.45 = 456.70/x
  3. Step 3: Cross multiply
    475.90x = 660.45 × 456.70
  4. Step 4: Simplify right side
    475.90x = 301,625.23
  5. Step 5: Solve for x
    x = 301,625.23/475.90
  6. Step 6: Final answer
    x = 633.80

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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.