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Finding the Fourth Proportional to 1,690.66, 2,535.99 and 716.13

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Solution

The fourth proportional to 1,690.66, 2,535.99 and 716.13 is: 1,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.66 : 2,535.99 = 716.13 : x
  2. Step 2: Convert to fraction form
    1,690.66/2,535.99 = 716.13/x
  3. Step 3: Cross multiply
    1,690.66x = 2,535.99 × 716.13
  4. Step 4: Simplify right side
    1,690.66x = 1,816,098.52
  5. Step 5: Solve for x
    x = 1,816,098.52/1,690.66
  6. Step 6: Final answer
    x = 1,074.20

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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.