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Finding the Fourth Proportional to 671.94, 1,007.94 and 233.18

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Solution

The fourth proportional to 671.94, 1,007.94 and 233.18 is: 349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.94 : 1,007.94 = 233.18 : x
  2. Step 2: Convert to fraction form
    671.94/1,007.94 = 233.18/x
  3. Step 3: Cross multiply
    671.94x = 1,007.94 × 233.18
  4. Step 4: Simplify right side
    671.94x = 235,031.45
  5. Step 5: Solve for x
    x = 235,031.45/671.94
  6. Step 6: Final answer
    x = 349.78

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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.