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Finding the Fourth Proportional to 1,684.61, 2,527.12 and 574.21

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Solution

The fourth proportional to 1,684.61, 2,527.12 and 574.21 is: 861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.61 : 2,527.12 = 574.21 : x
  2. Step 2: Convert to fraction form
    1,684.61/2,527.12 = 574.21/x
  3. Step 3: Cross multiply
    1,684.61x = 2,527.12 × 574.21
  4. Step 4: Simplify right side
    1,684.61x = 1,451,097.58
  5. Step 5: Solve for x
    x = 1,451,097.58/1,684.61
  6. Step 6: Final answer
    x = 861.38

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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.