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Finding the Fourth Proportional to 666.12, 917.80 and 497.37

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Solution

The fourth proportional to 666.12, 917.80 and 497.37 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.12 : 917.80 = 497.37 : x
  2. Step 2: Convert to fraction form
    666.12/917.80 = 497.37/x
  3. Step 3: Cross multiply
    666.12x = 917.80 × 497.37
  4. Step 4: Simplify right side
    666.12x = 456,488.38
  5. Step 5: Solve for x
    x = 456,488.38/666.12
  6. Step 6: Final answer
    x = 685.29

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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.