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Finding the Fourth Proportional to 740.29, 1,108 and 659.29

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Solution

The fourth proportional to 740.29, 1,108 and 659.29 is: 986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.29 : 1,108 = 659.29 : x
  2. Step 2: Convert to fraction form
    740.29/1,108 = 659.29/x
  3. Step 3: Cross multiply
    740.29x = 1,108 × 659.29
  4. Step 4: Simplify right side
    740.29x = 730,493.32
  5. Step 5: Solve for x
    x = 730,493.32/740.29
  6. Step 6: Final answer
    x = 986.77

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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.