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Finding the Fourth Proportional to 969.75, 1,338.95 and 597.23

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Solution

The fourth proportional to 969.75, 1,338.95 and 597.23 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.75 : 1,338.95 = 597.23 : x
  2. Step 2: Convert to fraction form
    969.75/1,338.95 = 597.23/x
  3. Step 3: Cross multiply
    969.75x = 1,338.95 × 597.23
  4. Step 4: Simplify right side
    969.75x = 799,661.11
  5. Step 5: Solve for x
    x = 799,661.11/969.75
  6. Step 6: Final answer
    x = 824.61

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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.