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Finding the Fourth Proportional to 775.26, 1,162.90 and 433.26

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Solution

The fourth proportional to 775.26, 1,162.90 and 433.26 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.26 : 1,162.90 = 433.26 : x
  2. Step 2: Convert to fraction form
    775.26/1,162.90 = 433.26/x
  3. Step 3: Cross multiply
    775.26x = 1,162.90 × 433.26
  4. Step 4: Simplify right side
    775.26x = 503,838.05
  5. Step 5: Solve for x
    x = 503,838.05/775.26
  6. Step 6: Final answer
    x = 649.90

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Double scale
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1.5x scale

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.