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Finding the Fourth Proportional to 517.20, 713.28 and 405.48

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Solution

The fourth proportional to 517.20, 713.28 and 405.48 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.20 : 713.28 = 405.48 : x
  2. Step 2: Convert to fraction form
    517.20/713.28 = 405.48/x
  3. Step 3: Cross multiply
    517.20x = 713.28 × 405.48
  4. Step 4: Simplify right side
    517.20x = 289,220.77
  5. Step 5: Solve for x
    x = 289,220.77/517.20
  6. Step 6: Final answer
    x = 559.20

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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.