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Finding the Fourth Proportional to 480.74, 662.04 and 458.87

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Solution

The fourth proportional to 480.74, 662.04 and 458.87 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.74 : 662.04 = 458.87 : x
  2. Step 2: Convert to fraction form
    480.74/662.04 = 458.87/x
  3. Step 3: Cross multiply
    480.74x = 662.04 × 458.87
  4. Step 4: Simplify right side
    480.74x = 303,790.29
  5. Step 5: Solve for x
    x = 303,790.29/480.74
  6. Step 6: Final answer
    x = 631.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.