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Finding the Fourth Proportional to 1,221.94, 1,831.02 and 932.50

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Solution

The fourth proportional to 1,221.94, 1,831.02 and 932.50 is: 1,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.94 : 1,831.02 = 932.50 : x
  2. Step 2: Convert to fraction form
    1,221.94/1,831.02 = 932.50/x
  3. Step 3: Cross multiply
    1,221.94x = 1,831.02 × 932.50
  4. Step 4: Simplify right side
    1,221.94x = 1,707,426.15
  5. Step 5: Solve for x
    x = 1,707,426.15/1,221.94
  6. Step 6: Final answer
    x = 1,397.31

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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.