Home / 1,027.13-1,541.30-442.11

Finding the Fourth Proportional to 1,027.13, 1,541.30 and 442.11

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Solution

The fourth proportional to 1,027.13, 1,541.30 and 442.11 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.13 : 1,541.30 = 442.11 : x
  2. Step 2: Convert to fraction form
    1,027.13/1,541.30 = 442.11/x
  3. Step 3: Cross multiply
    1,027.13x = 1,541.30 × 442.11
  4. Step 4: Simplify right side
    1,027.13x = 681,421.93
  5. Step 5: Solve for x
    x = 681,421.93/1,027.13
  6. Step 6: Final answer
    x = 663.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.