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Finding the Fourth Proportional to 592.28, 817.20 and 513.92

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Solution

The fourth proportional to 592.28, 817.20 and 513.92 is: 709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.28 : 817.20 = 513.92 : x
  2. Step 2: Convert to fraction form
    592.28/817.20 = 513.92/x
  3. Step 3: Cross multiply
    592.28x = 817.20 × 513.92
  4. Step 4: Simplify right side
    592.28x = 419,975.42
  5. Step 5: Solve for x
    x = 419,975.42/592.28
  6. Step 6: Final answer
    x = 709.08

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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.