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Finding the Fourth Proportional to 496.54, 686.13 and 480.52

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Solution

The fourth proportional to 496.54, 686.13 and 480.52 is: 663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.54 : 686.13 = 480.52 : x
  2. Step 2: Convert to fraction form
    496.54/686.13 = 480.52/x
  3. Step 3: Cross multiply
    496.54x = 686.13 × 480.52
  4. Step 4: Simplify right side
    496.54x = 329,699.19
  5. Step 5: Solve for x
    x = 329,699.19/496.54
  6. Step 6: Final answer
    x = 663.99

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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.