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Finding the Fourth Proportional to 865.76, 1,187.38 and 830.48

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Solution

The fourth proportional to 865.76, 1,187.38 and 830.48 is: 1,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.76 : 1,187.38 = 830.48 : x
  2. Step 2: Convert to fraction form
    865.76/1,187.38 = 830.48/x
  3. Step 3: Cross multiply
    865.76x = 1,187.38 × 830.48
  4. Step 4: Simplify right side
    865.76x = 986,095.34
  5. Step 5: Solve for x
    x = 986,095.34/865.76
  6. Step 6: Final answer
    x = 1,138.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.