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Finding the Fourth Proportional to 489.12, 671.04 and 461.28

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Solution

The fourth proportional to 489.12, 671.04 and 461.28 is: 632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.12 : 671.04 = 461.28 : x
  2. Step 2: Convert to fraction form
    489.12/671.04 = 461.28/x
  3. Step 3: Cross multiply
    489.12x = 671.04 × 461.28
  4. Step 4: Simplify right side
    489.12x = 309,537.33
  5. Step 5: Solve for x
    x = 309,537.33/489.12
  6. Step 6: Final answer
    x = 632.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.