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Finding the Fourth Proportional to 841.25, 1,261.43 and 645.77

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Solution

The fourth proportional to 841.25, 1,261.43 and 645.77 is: 968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.25 : 1,261.43 = 645.77 : x
  2. Step 2: Convert to fraction form
    841.25/1,261.43 = 645.77/x
  3. Step 3: Cross multiply
    841.25x = 1,261.43 × 645.77
  4. Step 4: Simplify right side
    841.25x = 814,584.12
  5. Step 5: Solve for x
    x = 814,584.12/841.25
  6. Step 6: Final answer
    x = 968.31

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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.