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Finding the Fourth Proportional to 666.82, 917.28 and 542.21

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Solution

The fourth proportional to 666.82, 917.28 and 542.21 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.82 : 917.28 = 542.21 : x
  2. Step 2: Convert to fraction form
    666.82/917.28 = 542.21/x
  3. Step 3: Cross multiply
    666.82x = 917.28 × 542.21
  4. Step 4: Simplify right side
    666.82x = 497,353.80
  5. Step 5: Solve for x
    x = 497,353.80/666.82
  6. Step 6: Final answer
    x = 745.86

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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.