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Finding the Fourth Proportional to 841.44, 1,261.44 and 429.84

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Solution

The fourth proportional to 841.44, 1,261.44 and 429.84 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.44 : 1,261.44 = 429.84 : x
  2. Step 2: Convert to fraction form
    841.44/1,261.44 = 429.84/x
  3. Step 3: Cross multiply
    841.44x = 1,261.44 × 429.84
  4. Step 4: Simplify right side
    841.44x = 542,217.37
  5. Step 5: Solve for x
    x = 542,217.37/841.44
  6. Step 6: Final answer
    x = 644.39

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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.