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Finding the Fourth Proportional to 775.40, 1,160.66 and 579.24

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Solution

The fourth proportional to 775.40, 1,160.66 and 579.24 is: 867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.40 : 1,160.66 = 579.24 : x
  2. Step 2: Convert to fraction form
    775.40/1,160.66 = 579.24/x
  3. Step 3: Cross multiply
    775.40x = 1,160.66 × 579.24
  4. Step 4: Simplify right side
    775.40x = 672,300.70
  5. Step 5: Solve for x
    x = 672,300.70/775.40
  6. Step 6: Final answer
    x = 867.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.