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Finding the Fourth Proportional to 775.10, 1,162.65 and 300.17

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Solution

The fourth proportional to 775.10, 1,162.65 and 300.17 is: 450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.10 : 1,162.65 = 300.17 : x
  2. Step 2: Convert to fraction form
    775.10/1,162.65 = 300.17/x
  3. Step 3: Cross multiply
    775.10x = 1,162.65 × 300.17
  4. Step 4: Simplify right side
    775.10x = 348,996.68
  5. Step 5: Solve for x
    x = 348,996.68/775.10
  6. Step 6: Final answer
    x = 450.26

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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.