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Finding the Fourth Proportional to 1,142.55, 1,714.23 and 960.30

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Solution

The fourth proportional to 1,142.55, 1,714.23 and 960.30 is: 1,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.55 : 1,714.23 = 960.30 : x
  2. Step 2: Convert to fraction form
    1,142.55/1,714.23 = 960.30/x
  3. Step 3: Cross multiply
    1,142.55x = 1,714.23 × 960.30
  4. Step 4: Simplify right side
    1,142.55x = 1,646,175.07
  5. Step 5: Solve for x
    x = 1,646,175.07/1,142.55
  6. Step 6: Final answer
    x = 1,440.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.