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Finding the Fourth Proportional to 480.13, 716.96 and 477.25

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Solution

The fourth proportional to 480.13, 716.96 and 477.25 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.13 : 716.96 = 477.25 : x
  2. Step 2: Convert to fraction form
    480.13/716.96 = 477.25/x
  3. Step 3: Cross multiply
    480.13x = 716.96 × 477.25
  4. Step 4: Simplify right side
    480.13x = 342,169.46
  5. Step 5: Solve for x
    x = 342,169.46/480.13
  6. Step 6: Final answer
    x = 712.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.