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Finding the Fourth Proportional to 1,257.41, 1,735.17 and 838.52

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Solution

The fourth proportional to 1,257.41, 1,735.17 and 838.52 is: 1,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.41 : 1,735.17 = 838.52 : x
  2. Step 2: Convert to fraction form
    1,257.41/1,735.17 = 838.52/x
  3. Step 3: Cross multiply
    1,257.41x = 1,735.17 × 838.52
  4. Step 4: Simplify right side
    1,257.41x = 1,454,966.07
  5. Step 5: Solve for x
    x = 1,454,966.07/1,257.41
  6. Step 6: Final answer
    x = 1,157.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.