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Finding the Fourth Proportional to 671.50, 926.67 and 409.48

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Solution

The fourth proportional to 671.50, 926.67 and 409.48 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.50 : 926.67 = 409.48 : x
  2. Step 2: Convert to fraction form
    671.50/926.67 = 409.48/x
  3. Step 3: Cross multiply
    671.50x = 926.67 × 409.48
  4. Step 4: Simplify right side
    671.50x = 379,452.83
  5. Step 5: Solve for x
    x = 379,452.83/671.50
  6. Step 6: Final answer
    x = 565.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.