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Finding the Fourth Proportional to 1,124.36, 1,689.38 and 713.69

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Solution

The fourth proportional to 1,124.36, 1,689.38 and 713.69 is: 1,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.36 : 1,689.38 = 713.69 : x
  2. Step 2: Convert to fraction form
    1,124.36/1,689.38 = 713.69/x
  3. Step 3: Cross multiply
    1,124.36x = 1,689.38 × 713.69
  4. Step 4: Simplify right side
    1,124.36x = 1,205,690.04
  5. Step 5: Solve for x
    x = 1,205,690.04/1,124.36
  6. Step 6: Final answer
    x = 1,072.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.