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Finding the Fourth Proportional to 775.56, 1,164.26 and 744.24

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Solution

The fourth proportional to 775.56, 1,164.26 and 744.24 is: 1,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.56 : 1,164.26 = 744.24 : x
  2. Step 2: Convert to fraction form
    775.56/1,164.26 = 744.24/x
  3. Step 3: Cross multiply
    775.56x = 1,164.26 × 744.24
  4. Step 4: Simplify right side
    775.56x = 866,488.86
  5. Step 5: Solve for x
    x = 866,488.86/775.56
  6. Step 6: Final answer
    x = 1,117.24

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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.