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Finding the Fourth Proportional to 891.85, 1,337.11 and 429.19

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Solution

The fourth proportional to 891.85, 1,337.11 and 429.19 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.85 : 1,337.11 = 429.19 : x
  2. Step 2: Convert to fraction form
    891.85/1,337.11 = 429.19/x
  3. Step 3: Cross multiply
    891.85x = 1,337.11 × 429.19
  4. Step 4: Simplify right side
    891.85x = 573,865.41
  5. Step 5: Solve for x
    x = 573,865.41/891.85
  6. Step 6: Final answer
    x = 643.46

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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.