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Finding the Fourth Proportional to 519.27, 716.40 and 342.24

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Solution

The fourth proportional to 519.27, 716.40 and 342.24 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.27 : 716.40 = 342.24 : x
  2. Step 2: Convert to fraction form
    519.27/716.40 = 342.24/x
  3. Step 3: Cross multiply
    519.27x = 716.40 × 342.24
  4. Step 4: Simplify right side
    519.27x = 245,180.74
  5. Step 5: Solve for x
    x = 245,180.74/519.27
  6. Step 6: Final answer
    x = 472.16

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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.