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Finding the Fourth Proportional to 519.76, 717.28 and 345.42

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Solution

The fourth proportional to 519.76, 717.28 and 345.42 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 717.28 = 345.42 : x
  2. Step 2: Convert to fraction form
    519.76/717.28 = 345.42/x
  3. Step 3: Cross multiply
    519.76x = 717.28 × 345.42
  4. Step 4: Simplify right side
    519.76x = 247,762.86
  5. Step 5: Solve for x
    x = 247,762.86/519.76
  6. Step 6: Final answer
    x = 476.69

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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.