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Finding the Fourth Proportional to 666.46, 1,000.77 and 411.58

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Solution

The fourth proportional to 666.46, 1,000.77 and 411.58 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.46 : 1,000.77 = 411.58 : x
  2. Step 2: Convert to fraction form
    666.46/1,000.77 = 411.58/x
  3. Step 3: Cross multiply
    666.46x = 1,000.77 × 411.58
  4. Step 4: Simplify right side
    666.46x = 411,896.92
  5. Step 5: Solve for x
    x = 411,896.92/666.46
  6. Step 6: Final answer
    x = 618.04

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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.