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Finding the Fourth Proportional to 666.77, 1,002.41 and 538.35

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Solution

The fourth proportional to 666.77, 1,002.41 and 538.35 is: 809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 1,002.41 = 538.35 : x
  2. Step 2: Convert to fraction form
    666.77/1,002.41 = 538.35/x
  3. Step 3: Cross multiply
    666.77x = 1,002.41 × 538.35
  4. Step 4: Simplify right side
    666.77x = 539,644.73
  5. Step 5: Solve for x
    x = 539,644.73/666.77
  6. Step 6: Final answer
    x = 809.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.