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Finding the Fourth Proportional to 960.24, 1,321.16 and 847.76

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Solution

The fourth proportional to 960.24, 1,321.16 and 847.76 is: 1,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,321.16 = 847.76 : x
  2. Step 2: Convert to fraction form
    960.24/1,321.16 = 847.76/x
  3. Step 3: Cross multiply
    960.24x = 1,321.16 × 847.76
  4. Step 4: Simplify right side
    960.24x = 1,120,026.60
  5. Step 5: Solve for x
    x = 1,120,026.60/960.24
  6. Step 6: Final answer
    x = 1,166.40

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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.