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Finding the Fourth Proportional to 965.06, 1,439.12 and 956.29

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Solution

The fourth proportional to 965.06, 1,439.12 and 956.29 is: 1,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.06 : 1,439.12 = 956.29 : x
  2. Step 2: Convert to fraction form
    965.06/1,439.12 = 956.29/x
  3. Step 3: Cross multiply
    965.06x = 1,439.12 × 956.29
  4. Step 4: Simplify right side
    965.06x = 1,376,211.28
  5. Step 5: Solve for x
    x = 1,376,211.28/965.06
  6. Step 6: Final answer
    x = 1,426.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.