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Finding the Fourth Proportional to 776.28, 1,162.56 and 631.68

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Solution

The fourth proportional to 776.28, 1,162.56 and 631.68 is: 946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.28 : 1,162.56 = 631.68 : x
  2. Step 2: Convert to fraction form
    776.28/1,162.56 = 631.68/x
  3. Step 3: Cross multiply
    776.28x = 1,162.56 × 631.68
  4. Step 4: Simplify right side
    776.28x = 734,365.90
  5. Step 5: Solve for x
    x = 734,365.90/776.28
  6. Step 6: Final answer
    x = 946.01

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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.