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Finding the Fourth Proportional to 480.67, 715.50 and 458.27

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Solution

The fourth proportional to 480.67, 715.50 and 458.27 is: 682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.67 : 715.50 = 458.27 : x
  2. Step 2: Convert to fraction form
    480.67/715.50 = 458.27/x
  3. Step 3: Cross multiply
    480.67x = 715.50 × 458.27
  4. Step 4: Simplify right side
    480.67x = 327,892.19
  5. Step 5: Solve for x
    x = 327,892.19/480.67
  6. Step 6: Final answer
    x = 682.16

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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.