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Finding the Fourth Proportional to 961.32, 1,325.47 and 820.99

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Solution

The fourth proportional to 961.32, 1,325.47 and 820.99 is: 1,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.32 : 1,325.47 = 820.99 : x
  2. Step 2: Convert to fraction form
    961.32/1,325.47 = 820.99/x
  3. Step 3: Cross multiply
    961.32x = 1,325.47 × 820.99
  4. Step 4: Simplify right side
    961.32x = 1,088,197.62
  5. Step 5: Solve for x
    x = 1,088,197.62/961.32
  6. Step 6: Final answer
    x = 1,131.98

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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.