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Finding the Fourth Proportional to 865.78, 1,193.29 and 824.77

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Solution

The fourth proportional to 865.78, 1,193.29 and 824.77 is: 1,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.78 : 1,193.29 = 824.77 : x
  2. Step 2: Convert to fraction form
    865.78/1,193.29 = 824.77/x
  3. Step 3: Cross multiply
    865.78x = 1,193.29 × 824.77
  4. Step 4: Simplify right side
    865.78x = 984,189.79
  5. Step 5: Solve for x
    x = 984,189.79/865.78
  6. Step 6: Final answer
    x = 1,136.77

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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.