Home / 1,027.17-1,417.82-731.97

Finding the Fourth Proportional to 1,027.17, 1,417.82 and 731.97

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Solution

The fourth proportional to 1,027.17, 1,417.82 and 731.97 is: 1,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.17 : 1,417.82 = 731.97 : x
  2. Step 2: Convert to fraction form
    1,027.17/1,417.82 = 731.97/x
  3. Step 3: Cross multiply
    1,027.17x = 1,417.82 × 731.97
  4. Step 4: Simplify right side
    1,027.17x = 1,037,798.05
  5. Step 5: Solve for x
    x = 1,037,798.05/1,027.17
  6. Step 6: Final answer
    x = 1,010.35

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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.