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Finding the Fourth Proportional to 1,806.97, 2,710.53 and 574.35

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Solution

The fourth proportional to 1,806.97, 2,710.53 and 574.35 is: 861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.97 : 2,710.53 = 574.35 : x
  2. Step 2: Convert to fraction form
    1,806.97/2,710.53 = 574.35/x
  3. Step 3: Cross multiply
    1,806.97x = 2,710.53 × 574.35
  4. Step 4: Simplify right side
    1,806.97x = 1,556,792.91
  5. Step 5: Solve for x
    x = 1,556,792.91/1,806.97
  6. Step 6: Final answer
    x = 861.55

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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.