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Finding the Fourth Proportional to 959.67, 1,432.51 and 823.59

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Solution

The fourth proportional to 959.67, 1,432.51 and 823.59 is: 1,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.67 : 1,432.51 = 823.59 : x
  2. Step 2: Convert to fraction form
    959.67/1,432.51 = 823.59/x
  3. Step 3: Cross multiply
    959.67x = 1,432.51 × 823.59
  4. Step 4: Simplify right side
    959.67x = 1,179,798.85
  5. Step 5: Solve for x
    x = 1,179,798.85/959.67
  6. Step 6: Final answer
    x = 1,229.38

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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.