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Finding the Fourth Proportional to 480.96, 716.52 and 457.74

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Solution

The fourth proportional to 480.96, 716.52 and 457.74 is: 681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.96 : 716.52 = 457.74 : x
  2. Step 2: Convert to fraction form
    480.96/716.52 = 457.74/x
  3. Step 3: Cross multiply
    480.96x = 716.52 × 457.74
  4. Step 4: Simplify right side
    480.96x = 327,979.86
  5. Step 5: Solve for x
    x = 327,979.86/480.96
  6. Step 6: Final answer
    x = 681.93

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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.