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Finding the Fourth Proportional to 480.46, 715.77 and 457.24

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Solution

The fourth proportional to 480.46, 715.77 and 457.24 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.46 : 715.77 = 457.24 : x
  2. Step 2: Convert to fraction form
    480.46/715.77 = 457.24/x
  3. Step 3: Cross multiply
    480.46x = 715.77 × 457.24
  4. Step 4: Simplify right side
    480.46x = 327,278.67
  5. Step 5: Solve for x
    x = 327,278.67/480.46
  6. Step 6: Final answer
    x = 681.18

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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.