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Finding the Fourth Proportional to 1,259.11, 1,738.61 and 817.75

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Solution

The fourth proportional to 1,259.11, 1,738.61 and 817.75 is: 1,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.11 : 1,738.61 = 817.75 : x
  2. Step 2: Convert to fraction form
    1,259.11/1,738.61 = 817.75/x
  3. Step 3: Cross multiply
    1,259.11x = 1,738.61 × 817.75
  4. Step 4: Simplify right side
    1,259.11x = 1,421,748.33
  5. Step 5: Solve for x
    x = 1,421,748.33/1,259.11
  6. Step 6: Final answer
    x = 1,129.17

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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.