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Finding the Fourth Proportional to 616.02, 850.44 and 489.74

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Solution

The fourth proportional to 616.02, 850.44 and 489.74 is: 676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 850.44 = 489.74 : x
  2. Step 2: Convert to fraction form
    616.02/850.44 = 489.74/x
  3. Step 3: Cross multiply
    616.02x = 850.44 × 489.74
  4. Step 4: Simplify right side
    616.02x = 416,490.23
  5. Step 5: Solve for x
    x = 416,490.23/616.02
  6. Step 6: Final answer
    x = 676.10

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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.