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Finding the Fourth Proportional to 1,806.89, 2,710.07 and 574.43

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Solution

The fourth proportional to 1,806.89, 2,710.07 and 574.43 is: 861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.89 : 2,710.07 = 574.43 : x
  2. Step 2: Convert to fraction form
    1,806.89/2,710.07 = 574.43/x
  3. Step 3: Cross multiply
    1,806.89x = 2,710.07 × 574.43
  4. Step 4: Simplify right side
    1,806.89x = 1,556,731.24
  5. Step 5: Solve for x
    x = 1,556,731.24/1,806.89
  6. Step 6: Final answer
    x = 861.56

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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.