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Finding the Fourth Proportional to 1,119.95, 1,546.25 and 766.46

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Solution

The fourth proportional to 1,119.95, 1,546.25 and 766.46 is: 1,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.95 : 1,546.25 = 766.46 : x
  2. Step 2: Convert to fraction form
    1,119.95/1,546.25 = 766.46/x
  3. Step 3: Cross multiply
    1,119.95x = 1,546.25 × 766.46
  4. Step 4: Simplify right side
    1,119.95x = 1,185,144.56
  5. Step 5: Solve for x
    x = 1,185,144.56/1,119.95
  6. Step 6: Final answer
    x = 1,058.21

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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.