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Finding the Fourth Proportional to 713.10, 984.10 and 433.29

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Solution

The fourth proportional to 713.10, 984.10 and 433.29 is: 597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.10 : 984.10 = 433.29 : x
  2. Step 2: Convert to fraction form
    713.10/984.10 = 433.29/x
  3. Step 3: Cross multiply
    713.10x = 984.10 × 433.29
  4. Step 4: Simplify right side
    713.10x = 426,399.61
  5. Step 5: Solve for x
    x = 426,399.61/713.10
  6. Step 6: Final answer
    x = 597.95

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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.