Home / 1,027.38-1,417.87-585.31

Finding the Fourth Proportional to 1,027.38, 1,417.87 and 585.31

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Solution

The fourth proportional to 1,027.38, 1,417.87 and 585.31 is: 807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.38 : 1,417.87 = 585.31 : x
  2. Step 2: Convert to fraction form
    1,027.38/1,417.87 = 585.31/x
  3. Step 3: Cross multiply
    1,027.38x = 1,417.87 × 585.31
  4. Step 4: Simplify right side
    1,027.38x = 829,893.49
  5. Step 5: Solve for x
    x = 829,893.49/1,027.38
  6. Step 6: Final answer
    x = 807.78

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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.