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Finding the Fourth Proportional to 1,342.32, 2,020.74 and 960.24

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Solution

The fourth proportional to 1,342.32, 2,020.74 and 960.24 is: 1,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.32 : 2,020.74 = 960.24 : x
  2. Step 2: Convert to fraction form
    1,342.32/2,020.74 = 960.24/x
  3. Step 3: Cross multiply
    1,342.32x = 2,020.74 × 960.24
  4. Step 4: Simplify right side
    1,342.32x = 1,940,395.38
  5. Step 5: Solve for x
    x = 1,940,395.38/1,342.32
  6. Step 6: Final answer
    x = 1,445.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.