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Finding the Fourth Proportional to 959.57, 1,324.19 and 561.32

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Solution

The fourth proportional to 959.57, 1,324.19 and 561.32 is: 774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.57 : 1,324.19 = 561.32 : x
  2. Step 2: Convert to fraction form
    959.57/1,324.19 = 561.32/x
  3. Step 3: Cross multiply
    959.57x = 1,324.19 × 561.32
  4. Step 4: Simplify right side
    959.57x = 743,284.90
  5. Step 5: Solve for x
    x = 743,284.90/959.57
  6. Step 6: Final answer
    x = 774.61

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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.