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Finding the Fourth Proportional to 489.78, 676.08 and 446.04

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Solution

The fourth proportional to 489.78, 676.08 and 446.04 is: 615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.78 : 676.08 = 446.04 : x
  2. Step 2: Convert to fraction form
    489.78/676.08 = 446.04/x
  3. Step 3: Cross multiply
    489.78x = 676.08 × 446.04
  4. Step 4: Simplify right side
    489.78x = 301,558.72
  5. Step 5: Solve for x
    x = 301,558.72/489.78
  6. Step 6: Final answer
    x = 615.70

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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.