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Finding the Fourth Proportional to 666.86, 1,000.49 and 495.77

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Solution

The fourth proportional to 666.86, 1,000.49 and 495.77 is: 743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 1,000.49 = 495.77 : x
  2. Step 2: Convert to fraction form
    666.86/1,000.49 = 495.77/x
  3. Step 3: Cross multiply
    666.86x = 1,000.49 × 495.77
  4. Step 4: Simplify right side
    666.86x = 496,005.45
  5. Step 5: Solve for x
    x = 496,005.45/666.86
  6. Step 6: Final answer
    x = 743.80

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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.