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Finding the Fourth Proportional to 834.71, 1,252.20 and 286.76

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Solution

The fourth proportional to 834.71, 1,252.20 and 286.76 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,252.20 = 286.76 : x
  2. Step 2: Convert to fraction form
    834.71/1,252.20 = 286.76/x
  3. Step 3: Cross multiply
    834.71x = 1,252.20 × 286.76
  4. Step 4: Simplify right side
    834.71x = 359,073.18
  5. Step 5: Solve for x
    x = 359,073.18/834.71
  6. Step 6: Final answer
    x = 430.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.