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Finding the Fourth Proportional to 714.10, 984.91 and 614.68

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Solution

The fourth proportional to 714.10, 984.91 and 614.68 is: 847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 984.91 = 614.68 : x
  2. Step 2: Convert to fraction form
    714.10/984.91 = 614.68/x
  3. Step 3: Cross multiply
    714.10x = 984.91 × 614.68
  4. Step 4: Simplify right side
    714.10x = 605,399.55
  5. Step 5: Solve for x
    x = 605,399.55/714.10
  6. Step 6: Final answer
    x = 847.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.