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Finding the Fourth Proportional to 960.85, 1,325.76 and 567.76

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Solution

The fourth proportional to 960.85, 1,325.76 and 567.76 is: 783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.85 : 1,325.76 = 567.76 : x
  2. Step 2: Convert to fraction form
    960.85/1,325.76 = 567.76/x
  3. Step 3: Cross multiply
    960.85x = 1,325.76 × 567.76
  4. Step 4: Simplify right side
    960.85x = 752,713.50
  5. Step 5: Solve for x
    x = 752,713.50/960.85
  6. Step 6: Final answer
    x = 783.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.