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Finding the Fourth Proportional to 713.24, 984.12 and 418.40

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Solution

The fourth proportional to 713.24, 984.12 and 418.40 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 984.12 = 418.40 : x
  2. Step 2: Convert to fraction form
    713.24/984.12 = 418.40/x
  3. Step 3: Cross multiply
    713.24x = 984.12 × 418.40
  4. Step 4: Simplify right side
    713.24x = 411,755.81
  5. Step 5: Solve for x
    x = 411,755.81/713.24
  6. Step 6: Final answer
    x = 577.30

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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.