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Finding the Fourth Proportional to 1,689.29, 2,332.29 and 1,101.50

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Solution

The fourth proportional to 1,689.29, 2,332.29 and 1,101.50 is: 1,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.29 : 2,332.29 = 1,101.50 : x
  2. Step 2: Convert to fraction form
    1,689.29/2,332.29 = 1,101.50/x
  3. Step 3: Cross multiply
    1,689.29x = 2,332.29 × 1,101.50
  4. Step 4: Simplify right side
    1,689.29x = 2,569,017.44
  5. Step 5: Solve for x
    x = 2,569,017.44/1,689.29
  6. Step 6: Final answer
    x = 1,520.77

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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.