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Finding the Fourth Proportional to 1,058.58, 1,462.05 and 863.10

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Solution

The fourth proportional to 1,058.58, 1,462.05 and 863.10 is: 1,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.58 : 1,462.05 = 863.10 : x
  2. Step 2: Convert to fraction form
    1,058.58/1,462.05 = 863.10/x
  3. Step 3: Cross multiply
    1,058.58x = 1,462.05 × 863.10
  4. Step 4: Simplify right side
    1,058.58x = 1,261,895.36
  5. Step 5: Solve for x
    x = 1,261,895.36/1,058.58
  6. Step 6: Final answer
    x = 1,192.06

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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.