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Finding the Fourth Proportional to 1,224.12, 1,689.36 and 693

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Solution

The fourth proportional to 1,224.12, 1,689.36 and 693 is: 956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.12 : 1,689.36 = 693 : x
  2. Step 2: Convert to fraction form
    1,224.12/1,689.36 = 693/x
  3. Step 3: Cross multiply
    1,224.12x = 1,689.36 × 693
  4. Step 4: Simplify right side
    1,224.12x = 1,170,726.48
  5. Step 5: Solve for x
    x = 1,170,726.48/1,224.12
  6. Step 6: Final answer
    x = 956.39

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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.