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Finding the Fourth Proportional to 891.49, 1,337.32 and 306.41

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Solution

The fourth proportional to 891.49, 1,337.32 and 306.41 is: 459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.49 : 1,337.32 = 306.41 : x
  2. Step 2: Convert to fraction form
    891.49/1,337.32 = 306.41/x
  3. Step 3: Cross multiply
    891.49x = 1,337.32 × 306.41
  4. Step 4: Simplify right side
    891.49x = 409,774.36
  5. Step 5: Solve for x
    x = 409,774.36/891.49
  6. Step 6: Final answer
    x = 459.65

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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.