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Finding the Fourth Proportional to 630.97, 870.30 and 381.85

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Solution

The fourth proportional to 630.97, 870.30 and 381.85 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.97 : 870.30 = 381.85 : x
  2. Step 2: Convert to fraction form
    630.97/870.30 = 381.85/x
  3. Step 3: Cross multiply
    630.97x = 870.30 × 381.85
  4. Step 4: Simplify right side
    630.97x = 332,324.06
  5. Step 5: Solve for x
    x = 332,324.06/630.97
  6. Step 6: Final answer
    x = 526.69

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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.