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Finding the Fourth Proportional to 480.41, 717.39 and 477.53

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Solution

The fourth proportional to 480.41, 717.39 and 477.53 is: 713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.41 : 717.39 = 477.53 : x
  2. Step 2: Convert to fraction form
    480.41/717.39 = 477.53/x
  3. Step 3: Cross multiply
    480.41x = 717.39 × 477.53
  4. Step 4: Simplify right side
    480.41x = 342,575.25
  5. Step 5: Solve for x
    x = 342,575.25/480.41
  6. Step 6: Final answer
    x = 713.09

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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.