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Finding the Fourth Proportional to 1,690.92, 2,534.91 and 717.71

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Solution

The fourth proportional to 1,690.92, 2,534.91 and 717.71 is: 1,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.92 : 2,534.91 = 717.71 : x
  2. Step 2: Convert to fraction form
    1,690.92/2,534.91 = 717.71/x
  3. Step 3: Cross multiply
    1,690.92x = 2,534.91 × 717.71
  4. Step 4: Simplify right side
    1,690.92x = 1,819,317.58
  5. Step 5: Solve for x
    x = 1,819,317.58/1,690.92
  6. Step 6: Final answer
    x = 1,075.93

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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.