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Finding the Fourth Proportional to 748.48, 1,122.92 and 666.77

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Solution

The fourth proportional to 748.48, 1,122.92 and 666.77 is: 1,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.48 : 1,122.92 = 666.77 : x
  2. Step 2: Convert to fraction form
    748.48/1,122.92 = 666.77/x
  3. Step 3: Cross multiply
    748.48x = 1,122.92 × 666.77
  4. Step 4: Simplify right side
    748.48x = 748,728.84
  5. Step 5: Solve for x
    x = 748,728.84/748.48
  6. Step 6: Final answer
    x = 1,000.34

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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.