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Finding the Fourth Proportional to 960.96, 1,434.52 and 815.20

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Solution

The fourth proportional to 960.96, 1,434.52 and 815.20 is: 1,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.96 : 1,434.52 = 815.20 : x
  2. Step 2: Convert to fraction form
    960.96/1,434.52 = 815.20/x
  3. Step 3: Cross multiply
    960.96x = 1,434.52 × 815.20
  4. Step 4: Simplify right side
    960.96x = 1,169,420.70
  5. Step 5: Solve for x
    x = 1,169,420.70/960.96
  6. Step 6: Final answer
    x = 1,216.93

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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.