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Finding the Fourth Proportional to 960.85, 1,328.57 and 837.83

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Solution

The fourth proportional to 960.85, 1,328.57 and 837.83 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.85 : 1,328.57 = 837.83 : x
  2. Step 2: Convert to fraction form
    960.85/1,328.57 = 837.83/x
  3. Step 3: Cross multiply
    960.85x = 1,328.57 × 837.83
  4. Step 4: Simplify right side
    960.85x = 1,113,115.80
  5. Step 5: Solve for x
    x = 1,113,115.80/960.85
  6. Step 6: Final answer
    x = 1,158.47

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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.