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Finding the Fourth Proportional to 1,743.59, 2,616.23 and 866.18

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Solution

The fourth proportional to 1,743.59, 2,616.23 and 866.18 is: 1,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.59 : 2,616.23 = 866.18 : x
  2. Step 2: Convert to fraction form
    1,743.59/2,616.23 = 866.18/x
  3. Step 3: Cross multiply
    1,743.59x = 2,616.23 × 866.18
  4. Step 4: Simplify right side
    1,743.59x = 2,266,134.81
  5. Step 5: Solve for x
    x = 2,266,134.81/1,743.59
  6. Step 6: Final answer
    x = 1,299.69

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1.5x scale

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.