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Finding the Fourth Proportional to 841.58, 1,261.86 and 396.69

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Solution

The fourth proportional to 841.58, 1,261.86 and 396.69 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.58 : 1,261.86 = 396.69 : x
  2. Step 2: Convert to fraction form
    841.58/1,261.86 = 396.69/x
  3. Step 3: Cross multiply
    841.58x = 1,261.86 × 396.69
  4. Step 4: Simplify right side
    841.58x = 500,567.24
  5. Step 5: Solve for x
    x = 500,567.24/841.58
  6. Step 6: Final answer
    x = 594.79

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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.