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Finding the Fourth Proportional to 775.52, 1,162.55 and 288.19

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Solution

The fourth proportional to 775.52, 1,162.55 and 288.19 is: 432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.52 : 1,162.55 = 288.19 : x
  2. Step 2: Convert to fraction form
    775.52/1,162.55 = 288.19/x
  3. Step 3: Cross multiply
    775.52x = 1,162.55 × 288.19
  4. Step 4: Simplify right side
    775.52x = 335,033.10
  5. Step 5: Solve for x
    x = 335,033.10/775.52
  6. Step 6: Final answer
    x = 432.01

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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.