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Finding the Fourth Proportional to 960.47, 1,324.90 and 567.42

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Solution

The fourth proportional to 960.47, 1,324.90 and 567.42 is: 782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.47 : 1,324.90 = 567.42 : x
  2. Step 2: Convert to fraction form
    960.47/1,324.90 = 567.42/x
  3. Step 3: Cross multiply
    960.47x = 1,324.90 × 567.42
  4. Step 4: Simplify right side
    960.47x = 751,774.76
  5. Step 5: Solve for x
    x = 751,774.76/960.47
  6. Step 6: Final answer
    x = 782.72

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1.5x scale

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.