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Finding the Fourth Proportional to 914.28, 1,363.62 and 831.66

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Solution

The fourth proportional to 914.28, 1,363.62 and 831.66 is: 1,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.28 : 1,363.62 = 831.66 : x
  2. Step 2: Convert to fraction form
    914.28/1,363.62 = 831.66/x
  3. Step 3: Cross multiply
    914.28x = 1,363.62 × 831.66
  4. Step 4: Simplify right side
    914.28x = 1,134,068.21
  5. Step 5: Solve for x
    x = 1,134,068.21/914.28
  6. Step 6: Final answer
    x = 1,240.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.