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Finding the Fourth Proportional to 841.28, 1,261.15 and 354.37

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Solution

The fourth proportional to 841.28, 1,261.15 and 354.37 is: 531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.28 : 1,261.15 = 354.37 : x
  2. Step 2: Convert to fraction form
    841.28/1,261.15 = 354.37/x
  3. Step 3: Cross multiply
    841.28x = 1,261.15 × 354.37
  4. Step 4: Simplify right side
    841.28x = 446,913.73
  5. Step 5: Solve for x
    x = 446,913.73/841.28
  6. Step 6: Final answer
    x = 531.23

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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.