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Finding the Fourth Proportional to 519.48, 716.22 and 425.88

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Solution

The fourth proportional to 519.48, 716.22 and 425.88 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 716.22 = 425.88 : x
  2. Step 2: Convert to fraction form
    519.48/716.22 = 425.88/x
  3. Step 3: Cross multiply
    519.48x = 716.22 × 425.88
  4. Step 4: Simplify right side
    519.48x = 305,023.77
  5. Step 5: Solve for x
    x = 305,023.77/519.48
  6. Step 6: Final answer
    x = 587.17

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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.