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Finding the Fourth Proportional to 480.28, 715.50 and 462.86

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Solution

The fourth proportional to 480.28, 715.50 and 462.86 is: 689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.28 : 715.50 = 462.86 : x
  2. Step 2: Convert to fraction form
    480.28/715.50 = 462.86/x
  3. Step 3: Cross multiply
    480.28x = 715.50 × 462.86
  4. Step 4: Simplify right side
    480.28x = 331,176.33
  5. Step 5: Solve for x
    x = 331,176.33/480.28
  6. Step 6: Final answer
    x = 689.55

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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.