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Finding the Fourth Proportional to 1,151.78, 1,725.26 and 956.30

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Solution

The fourth proportional to 1,151.78, 1,725.26 and 956.30 is: 1,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.78 : 1,725.26 = 956.30 : x
  2. Step 2: Convert to fraction form
    1,151.78/1,725.26 = 956.30/x
  3. Step 3: Cross multiply
    1,151.78x = 1,725.26 × 956.30
  4. Step 4: Simplify right side
    1,151.78x = 1,649,852.73
  5. Step 5: Solve for x
    x = 1,649,852.73/1,151.78
  6. Step 6: Final answer
    x = 1,432.44

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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.