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Finding the Fourth Proportional to 591.36, 812.80 and 517.12

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Solution

The fourth proportional to 591.36, 812.80 and 517.12 is: 710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 812.80 = 517.12 : x
  2. Step 2: Convert to fraction form
    591.36/812.80 = 517.12/x
  3. Step 3: Cross multiply
    591.36x = 812.80 × 517.12
  4. Step 4: Simplify right side
    591.36x = 420,315.14
  5. Step 5: Solve for x
    x = 420,315.14/591.36
  6. Step 6: Final answer
    x = 710.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.