Home / 1,027.31-1,417.71-585.35

Finding the Fourth Proportional to 1,027.31, 1,417.71 and 585.35

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Solution

The fourth proportional to 1,027.31, 1,417.71 and 585.35 is: 807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.31 : 1,417.71 = 585.35 : x
  2. Step 2: Convert to fraction form
    1,027.31/1,417.71 = 585.35/x
  3. Step 3: Cross multiply
    1,027.31x = 1,417.71 × 585.35
  4. Step 4: Simplify right side
    1,027.31x = 829,849.46
  5. Step 5: Solve for x
    x = 829,849.46/1,027.31
  6. Step 6: Final answer
    x = 807.79

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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.