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Finding the Fourth Proportional to 831.66, 1,246.78 and 571.02

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Solution

The fourth proportional to 831.66, 1,246.78 and 571.02 is: 856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.66 : 1,246.78 = 571.02 : x
  2. Step 2: Convert to fraction form
    831.66/1,246.78 = 571.02/x
  3. Step 3: Cross multiply
    831.66x = 1,246.78 × 571.02
  4. Step 4: Simplify right side
    831.66x = 711,936.32
  5. Step 5: Solve for x
    x = 711,936.32/831.66
  6. Step 6: Final answer
    x = 856.04

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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.