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Finding the Fourth Proportional to 841.74, 1,261.83 and 429.97

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Solution

The fourth proportional to 841.74, 1,261.83 and 429.97 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.74 : 1,261.83 = 429.97 : x
  2. Step 2: Convert to fraction form
    841.74/1,261.83 = 429.97/x
  3. Step 3: Cross multiply
    841.74x = 1,261.83 × 429.97
  4. Step 4: Simplify right side
    841.74x = 542,551.18
  5. Step 5: Solve for x
    x = 542,551.18/841.74
  6. Step 6: Final answer
    x = 644.56

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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.