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Finding the Fourth Proportional to 674.32, 1,012.20 and 289.84

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Solution

The fourth proportional to 674.32, 1,012.20 and 289.84 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.32 : 1,012.20 = 289.84 : x
  2. Step 2: Convert to fraction form
    674.32/1,012.20 = 289.84/x
  3. Step 3: Cross multiply
    674.32x = 1,012.20 × 289.84
  4. Step 4: Simplify right side
    674.32x = 293,376.05
  5. Step 5: Solve for x
    x = 293,376.05/674.32
  6. Step 6: Final answer
    x = 435.07

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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.