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Finding the Fourth Proportional to 517.12, 713.76 and 342.40

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Solution

The fourth proportional to 517.12, 713.76 and 342.40 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 713.76 = 342.40 : x
  2. Step 2: Convert to fraction form
    517.12/713.76 = 342.40/x
  3. Step 3: Cross multiply
    517.12x = 713.76 × 342.40
  4. Step 4: Simplify right side
    517.12x = 244,391.42
  5. Step 5: Solve for x
    x = 244,391.42/517.12
  6. Step 6: Final answer
    x = 472.60

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