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Finding the Fourth Proportional to 671.84, 1,007.70 and 394.34

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Solution

The fourth proportional to 671.84, 1,007.70 and 394.34 is: 591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 1,007.70 = 394.34 : x
  2. Step 2: Convert to fraction form
    671.84/1,007.70 = 394.34/x
  3. Step 3: Cross multiply
    671.84x = 1,007.70 × 394.34
  4. Step 4: Simplify right side
    671.84x = 397,376.42
  5. Step 5: Solve for x
    x = 397,376.42/671.84
  6. Step 6: Final answer
    x = 591.47

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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.