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Finding the Fourth Proportional to 834.71, 1,250.08 and 702.29

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Solution

The fourth proportional to 834.71, 1,250.08 and 702.29 is: 1,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,250.08 = 702.29 : x
  2. Step 2: Convert to fraction form
    834.71/1,250.08 = 702.29/x
  3. Step 3: Cross multiply
    834.71x = 1,250.08 × 702.29
  4. Step 4: Simplify right side
    834.71x = 877,918.68
  5. Step 5: Solve for x
    x = 877,918.68/834.71
  6. Step 6: Final answer
    x = 1,051.76

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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.