Home / 1,027.75-1,418.26-585.71

Finding the Fourth Proportional to 1,027.75, 1,418.26 and 585.71

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Solution

The fourth proportional to 1,027.75, 1,418.26 and 585.71 is: 808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.75 : 1,418.26 = 585.71 : x
  2. Step 2: Convert to fraction form
    1,027.75/1,418.26 = 585.71/x
  3. Step 3: Cross multiply
    1,027.75x = 1,418.26 × 585.71
  4. Step 4: Simplify right side
    1,027.75x = 830,689.06
  5. Step 5: Solve for x
    x = 830,689.06/1,027.75
  6. Step 6: Final answer
    x = 808.26

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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.