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Finding the Fourth Proportional to 713.16, 984.26 and 433.42

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Solution

The fourth proportional to 713.16, 984.26 and 433.42 is: 598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 984.26 = 433.42 : x
  2. Step 2: Convert to fraction form
    713.16/984.26 = 433.42/x
  3. Step 3: Cross multiply
    713.16x = 984.26 × 433.42
  4. Step 4: Simplify right side
    713.16x = 426,597.97
  5. Step 5: Solve for x
    x = 426,597.97/713.16
  6. Step 6: Final answer
    x = 598.18

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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.