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Finding the Fourth Proportional to 856.73, 1,292.42 and 831.20

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Solution

The fourth proportional to 856.73, 1,292.42 and 831.20 is: 1,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,292.42 = 831.20 : x
  2. Step 2: Convert to fraction form
    856.73/1,292.42 = 831.20/x
  3. Step 3: Cross multiply
    856.73x = 1,292.42 × 831.20
  4. Step 4: Simplify right side
    856.73x = 1,074,259.50
  5. Step 5: Solve for x
    x = 1,074,259.50/856.73
  6. Step 6: Final answer
    x = 1,253.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.