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Finding the Fourth Proportional to 713.46, 984.54 and 418.74

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Solution

The fourth proportional to 713.46, 984.54 and 418.74 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 984.54 = 418.74 : x
  2. Step 2: Convert to fraction form
    713.46/984.54 = 418.74/x
  3. Step 3: Cross multiply
    713.46x = 984.54 × 418.74
  4. Step 4: Simplify right side
    713.46x = 412,266.28
  5. Step 5: Solve for x
    x = 412,266.28/713.46
  6. Step 6: Final answer
    x = 577.84

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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.