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Finding the Fourth Proportional to 1,224.19, 1,689.42 and 700.39

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Solution

The fourth proportional to 1,224.19, 1,689.42 and 700.39 is: 966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.19 : 1,689.42 = 700.39 : x
  2. Step 2: Convert to fraction form
    1,224.19/1,689.42 = 700.39/x
  3. Step 3: Cross multiply
    1,224.19x = 1,689.42 × 700.39
  4. Step 4: Simplify right side
    1,224.19x = 1,183,252.87
  5. Step 5: Solve for x
    x = 1,183,252.87/1,224.19
  6. Step 6: Final answer
    x = 966.56

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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.