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Finding the Fourth Proportional to 1,224.45, 1,689.82 and 693.47

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Solution

The fourth proportional to 1,224.45, 1,689.82 and 693.47 is: 957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.45 : 1,689.82 = 693.47 : x
  2. Step 2: Convert to fraction form
    1,224.45/1,689.82 = 693.47/x
  3. Step 3: Cross multiply
    1,224.45x = 1,689.82 × 693.47
  4. Step 4: Simplify right side
    1,224.45x = 1,171,841.97
  5. Step 5: Solve for x
    x = 1,171,841.97/1,224.45
  6. Step 6: Final answer
    x = 957.04

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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.