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Finding the Fourth Proportional to 960.96, 1,326.12 and 587.76

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Solution

The fourth proportional to 960.96, 1,326.12 and 587.76 is: 811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.96 : 1,326.12 = 587.76 : x
  2. Step 2: Convert to fraction form
    960.96/1,326.12 = 587.76/x
  3. Step 3: Cross multiply
    960.96x = 1,326.12 × 587.76
  4. Step 4: Simplify right side
    960.96x = 779,440.29
  5. Step 5: Solve for x
    x = 779,440.29/960.96
  6. Step 6: Final answer
    x = 811.11

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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.