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Finding the Fourth Proportional to 1,689.63, 2,332.71 and 1,159.38

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Solution

The fourth proportional to 1,689.63, 2,332.71 and 1,159.38 is: 1,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.63 : 2,332.71 = 1,159.38 : x
  2. Step 2: Convert to fraction form
    1,689.63/2,332.71 = 1,159.38/x
  3. Step 3: Cross multiply
    1,689.63x = 2,332.71 × 1,159.38
  4. Step 4: Simplify right side
    1,689.63x = 2,704,496.58
  5. Step 5: Solve for x
    x = 2,704,496.58/1,689.63
  6. Step 6: Final answer
    x = 1,600.65

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1.5x scale

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.