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Finding the Fourth Proportional to 860.32, 1,186.62 and 831.76

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Solution

The fourth proportional to 860.32, 1,186.62 and 831.76 is: 1,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.32 : 1,186.62 = 831.76 : x
  2. Step 2: Convert to fraction form
    860.32/1,186.62 = 831.76/x
  3. Step 3: Cross multiply
    860.32x = 1,186.62 × 831.76
  4. Step 4: Simplify right side
    860.32x = 986,983.05
  5. Step 5: Solve for x
    x = 986,983.05/860.32
  6. Step 6: Final answer
    x = 1,147.23

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Double scale
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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.