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Finding the Fourth Proportional to 496.39, 685.10 and 480.16

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Solution

The fourth proportional to 496.39, 685.10 and 480.16 is: 662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.39 : 685.10 = 480.16 : x
  2. Step 2: Convert to fraction form
    496.39/685.10 = 480.16/x
  3. Step 3: Cross multiply
    496.39x = 685.10 × 480.16
  4. Step 4: Simplify right side
    496.39x = 328,957.62
  5. Step 5: Solve for x
    x = 328,957.62/496.39
  6. Step 6: Final answer
    x = 662.70

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1.5x scale

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.