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Finding the Fourth Proportional to 1,805.29, 2,708.14 and 709.51

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Solution

The fourth proportional to 1,805.29, 2,708.14 and 709.51 is: 1,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.29 : 2,708.14 = 709.51 : x
  2. Step 2: Convert to fraction form
    1,805.29/2,708.14 = 709.51/x
  3. Step 3: Cross multiply
    1,805.29x = 2,708.14 × 709.51
  4. Step 4: Simplify right side
    1,805.29x = 1,921,452.41
  5. Step 5: Solve for x
    x = 1,921,452.41/1,805.29
  6. Step 6: Final answer
    x = 1,064.35

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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.