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Finding the Fourth Proportional to 706.71, 1,060.25 and 381.63

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Solution

The fourth proportional to 706.71, 1,060.25 and 381.63 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.71 : 1,060.25 = 381.63 : x
  2. Step 2: Convert to fraction form
    706.71/1,060.25 = 381.63/x
  3. Step 3: Cross multiply
    706.71x = 1,060.25 × 381.63
  4. Step 4: Simplify right side
    706.71x = 404,621.30
  5. Step 5: Solve for x
    x = 404,621.30/706.71
  6. Step 6: Final answer
    x = 572.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.