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Finding the Fourth Proportional to 746.91, 1,114.20 and 710.46

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Solution

The fourth proportional to 746.91, 1,114.20 and 710.46 is: 1,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.91 : 1,114.20 = 710.46 : x
  2. Step 2: Convert to fraction form
    746.91/1,114.20 = 710.46/x
  3. Step 3: Cross multiply
    746.91x = 1,114.20 × 710.46
  4. Step 4: Simplify right side
    746.91x = 791,594.53
  5. Step 5: Solve for x
    x = 791,594.53/746.91
  6. Step 6: Final answer
    x = 1,059.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.