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Finding the Fourth Proportional to 838.40, 1,260.36 and 701.73

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Solution

The fourth proportional to 838.40, 1,260.36 and 701.73 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.40 : 1,260.36 = 701.73 : x
  2. Step 2: Convert to fraction form
    838.40/1,260.36 = 701.73/x
  3. Step 3: Cross multiply
    838.40x = 1,260.36 × 701.73
  4. Step 4: Simplify right side
    838.40x = 884,432.42
  5. Step 5: Solve for x
    x = 884,432.42/838.40
  6. Step 6: Final answer
    x = 1,054.91

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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.