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Finding the Fourth Proportional to 480.57, 715.09 and 478.95

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Solution

The fourth proportional to 480.57, 715.09 and 478.95 is: 712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.57 : 715.09 = 478.95 : x
  2. Step 2: Convert to fraction form
    480.57/715.09 = 478.95/x
  3. Step 3: Cross multiply
    480.57x = 715.09 × 478.95
  4. Step 4: Simplify right side
    480.57x = 342,491.16
  5. Step 5: Solve for x
    x = 342,491.16/480.57
  6. Step 6: Final answer
    x = 712.68

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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.