Home / 1,027.44-1,541.61-442.35

Finding the Fourth Proportional to 1,027.44, 1,541.61 and 442.35

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Solution

The fourth proportional to 1,027.44, 1,541.61 and 442.35 is: 663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.44 : 1,541.61 = 442.35 : x
  2. Step 2: Convert to fraction form
    1,027.44/1,541.61 = 442.35/x
  3. Step 3: Cross multiply
    1,027.44x = 1,541.61 × 442.35
  4. Step 4: Simplify right side
    1,027.44x = 681,931.18
  5. Step 5: Solve for x
    x = 681,931.18/1,027.44
  6. Step 6: Final answer
    x = 663.72

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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.