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Finding the Fourth Proportional to 519.97, 717.66 and 478.46

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Solution

The fourth proportional to 519.97, 717.66 and 478.46 is: 660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.97 : 717.66 = 478.46 : x
  2. Step 2: Convert to fraction form
    519.97/717.66 = 478.46/x
  3. Step 3: Cross multiply
    519.97x = 717.66 × 478.46
  4. Step 4: Simplify right side
    519.97x = 343,368.02
  5. Step 5: Solve for x
    x = 343,368.02/519.97
  6. Step 6: Final answer
    x = 660.36

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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.