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Finding the Fourth Proportional to 1,058.10, 1,460.20 and 638.46

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Solution

The fourth proportional to 1,058.10, 1,460.20 and 638.46 is: 881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.10 : 1,460.20 = 638.46 : x
  2. Step 2: Convert to fraction form
    1,058.10/1,460.20 = 638.46/x
  3. Step 3: Cross multiply
    1,058.10x = 1,460.20 × 638.46
  4. Step 4: Simplify right side
    1,058.10x = 932,279.29
  5. Step 5: Solve for x
    x = 932,279.29/1,058.10
  6. Step 6: Final answer
    x = 881.09

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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.