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Finding the Fourth Proportional to 616.64, 850.83 and 354.68

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Solution

The fourth proportional to 616.64, 850.83 and 354.68 is: 489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 850.83 = 354.68 : x
  2. Step 2: Convert to fraction form
    616.64/850.83 = 354.68/x
  3. Step 3: Cross multiply
    616.64x = 850.83 × 354.68
  4. Step 4: Simplify right side
    616.64x = 301,772.38
  5. Step 5: Solve for x
    x = 301,772.38/616.64
  6. Step 6: Final answer
    x = 489.38

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1.5x scale

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.