Home / 1,131.52-1,560.32-966.40

Finding the Fourth Proportional to 1,131.52, 1,560.32 and 966.40

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Solution

The fourth proportional to 1,131.52, 1,560.32 and 966.40 is: 1,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.52 : 1,560.32 = 966.40 : x
  2. Step 2: Convert to fraction form
    1,131.52/1,560.32 = 966.40/x
  3. Step 3: Cross multiply
    1,131.52x = 1,560.32 × 966.40
  4. Step 4: Simplify right side
    1,131.52x = 1,507,893.25
  5. Step 5: Solve for x
    x = 1,507,893.25/1,131.52
  6. Step 6: Final answer
    x = 1,332.63

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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.