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Finding the Fourth Proportional to 690.56, 1,034.62 and 574.33

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Solution

The fourth proportional to 690.56, 1,034.62 and 574.33 is: 860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.56 : 1,034.62 = 574.33 : x
  2. Step 2: Convert to fraction form
    690.56/1,034.62 = 574.33/x
  3. Step 3: Cross multiply
    690.56x = 1,034.62 × 574.33
  4. Step 4: Simplify right side
    690.56x = 594,213.30
  5. Step 5: Solve for x
    x = 594,213.30/690.56
  6. Step 6: Final answer
    x = 860.48

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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.