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Finding the Fourth Proportional to 666.39, 918.80 and 469.56

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Solution

The fourth proportional to 666.39, 918.80 and 469.56 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.39 : 918.80 = 469.56 : x
  2. Step 2: Convert to fraction form
    666.39/918.80 = 469.56/x
  3. Step 3: Cross multiply
    666.39x = 918.80 × 469.56
  4. Step 4: Simplify right side
    666.39x = 431,434.59
  5. Step 5: Solve for x
    x = 431,434.59/666.39
  6. Step 6: Final answer
    x = 647.42

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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.