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Finding the Fourth Proportional to 826.56, 1,237.72 and 702.84

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Solution

The fourth proportional to 826.56, 1,237.72 and 702.84 is: 1,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,237.72 = 702.84 : x
  2. Step 2: Convert to fraction form
    826.56/1,237.72 = 702.84/x
  3. Step 3: Cross multiply
    826.56x = 1,237.72 × 702.84
  4. Step 4: Simplify right side
    826.56x = 869,919.12
  5. Step 5: Solve for x
    x = 869,919.12/826.56
  6. Step 6: Final answer
    x = 1,052.46

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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.