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Finding the Fourth Proportional to 690.12, 1,034.22 and 304.56

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Solution

The fourth proportional to 690.12, 1,034.22 and 304.56 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 1,034.22 = 304.56 : x
  2. Step 2: Convert to fraction form
    690.12/1,034.22 = 304.56/x
  3. Step 3: Cross multiply
    690.12x = 1,034.22 × 304.56
  4. Step 4: Simplify right side
    690.12x = 314,982.04
  5. Step 5: Solve for x
    x = 314,982.04/690.12
  6. Step 6: Final answer
    x = 456.42

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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.