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Finding the Fourth Proportional to 960.60, 1,325.22 and 567.56

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Solution

The fourth proportional to 960.60, 1,325.22 and 567.56 is: 782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.60 : 1,325.22 = 567.56 : x
  2. Step 2: Convert to fraction form
    960.60/1,325.22 = 567.56/x
  3. Step 3: Cross multiply
    960.60x = 1,325.22 × 567.56
  4. Step 4: Simplify right side
    960.60x = 752,141.86
  5. Step 5: Solve for x
    x = 752,141.86/960.60
  6. Step 6: Final answer
    x = 782.99

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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.