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Finding the Fourth Proportional to 666.18, 917.84 and 456.27

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Solution

The fourth proportional to 666.18, 917.84 and 456.27 is: 628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.18 : 917.84 = 456.27 : x
  2. Step 2: Convert to fraction form
    666.18/917.84 = 456.27/x
  3. Step 3: Cross multiply
    666.18x = 917.84 × 456.27
  4. Step 4: Simplify right side
    666.18x = 418,780.58
  5. Step 5: Solve for x
    x = 418,780.58/666.18
  6. Step 6: Final answer
    x = 628.63

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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.