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Finding the Fourth Proportional to 959.71, 1,324.53 and 561.49

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Solution

The fourth proportional to 959.71, 1,324.53 and 561.49 is: 774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.71 : 1,324.53 = 561.49 : x
  2. Step 2: Convert to fraction form
    959.71/1,324.53 = 561.49/x
  3. Step 3: Cross multiply
    959.71x = 1,324.53 × 561.49
  4. Step 4: Simplify right side
    959.71x = 743,707.54
  5. Step 5: Solve for x
    x = 743,707.54/959.71
  6. Step 6: Final answer
    x = 774.93

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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.