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Finding the Fourth Proportional to 1,058.49, 1,581.28 and 842.31

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Solution

The fourth proportional to 1,058.49, 1,581.28 and 842.31 is: 1,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.49 : 1,581.28 = 842.31 : x
  2. Step 2: Convert to fraction form
    1,058.49/1,581.28 = 842.31/x
  3. Step 3: Cross multiply
    1,058.49x = 1,581.28 × 842.31
  4. Step 4: Simplify right side
    1,058.49x = 1,331,925.85
  5. Step 5: Solve for x
    x = 1,331,925.85/1,058.49
  6. Step 6: Final answer
    x = 1,258.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.