Home / 1,058.12-1,458.77-742.83

Finding the Fourth Proportional to 1,058.12, 1,458.77 and 742.83

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Solution

The fourth proportional to 1,058.12, 1,458.77 and 742.83 is: 1,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.12 : 1,458.77 = 742.83 : x
  2. Step 2: Convert to fraction form
    1,058.12/1,458.77 = 742.83/x
  3. Step 3: Cross multiply
    1,058.12x = 1,458.77 × 742.83
  4. Step 4: Simplify right side
    1,058.12x = 1,083,614.40
  5. Step 5: Solve for x
    x = 1,083,614.40/1,058.12
  6. Step 6: Final answer
    x = 1,024.10

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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.