Home / 1,027.12-1,417.28-585.04

Finding the Fourth Proportional to 1,027.12, 1,417.28 and 585.04

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Solution

The fourth proportional to 1,027.12, 1,417.28 and 585.04 is: 807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.12 : 1,417.28 = 585.04 : x
  2. Step 2: Convert to fraction form
    1,027.12/1,417.28 = 585.04/x
  3. Step 3: Cross multiply
    1,027.12x = 1,417.28 × 585.04
  4. Step 4: Simplify right side
    1,027.12x = 829,165.49
  5. Step 5: Solve for x
    x = 829,165.49/1,027.12
  6. Step 6: Final answer
    x = 807.27

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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.