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Finding the Fourth Proportional to 1,258.67, 1,737.86 and 1,010.22

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Solution

The fourth proportional to 1,258.67, 1,737.86 and 1,010.22 is: 1,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.67 : 1,737.86 = 1,010.22 : x
  2. Step 2: Convert to fraction form
    1,258.67/1,737.86 = 1,010.22/x
  3. Step 3: Cross multiply
    1,258.67x = 1,737.86 × 1,010.22
  4. Step 4: Simplify right side
    1,258.67x = 1,755,615.88
  5. Step 5: Solve for x
    x = 1,755,615.88/1,258.67
  6. Step 6: Final answer
    x = 1,394.82

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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.