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Finding the Fourth Proportional to 616.75, 851.60 and 381.04

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Solution

The fourth proportional to 616.75, 851.60 and 381.04 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 851.60 = 381.04 : x
  2. Step 2: Convert to fraction form
    616.75/851.60 = 381.04/x
  3. Step 3: Cross multiply
    616.75x = 851.60 × 381.04
  4. Step 4: Simplify right side
    616.75x = 324,492.49
  5. Step 5: Solve for x
    x = 324,492.49/616.75
  6. Step 6: Final answer
    x = 526.14

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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.