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Finding the Fourth Proportional to 900.63, 1,241.82 and 767.61

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Solution

The fourth proportional to 900.63, 1,241.82 and 767.61 is: 1,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.63 : 1,241.82 = 767.61 : x
  2. Step 2: Convert to fraction form
    900.63/1,241.82 = 767.61/x
  3. Step 3: Cross multiply
    900.63x = 1,241.82 × 767.61
  4. Step 4: Simplify right side
    900.63x = 953,233.45
  5. Step 5: Solve for x
    x = 953,233.45/900.63
  6. Step 6: Final answer
    x = 1,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.