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Finding the Fourth Proportional to 747.42, 1,122.39 and 617.46

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Solution

The fourth proportional to 747.42, 1,122.39 and 617.46 is: 927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.42 : 1,122.39 = 617.46 : x
  2. Step 2: Convert to fraction form
    747.42/1,122.39 = 617.46/x
  3. Step 3: Cross multiply
    747.42x = 1,122.39 × 617.46
  4. Step 4: Simplify right side
    747.42x = 693,030.93
  5. Step 5: Solve for x
    x = 693,030.93/747.42
  6. Step 6: Final answer
    x = 927.23

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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.