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Finding the Fourth Proportional to 660.95, 991.81 and 270.89

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Solution

The fourth proportional to 660.95, 991.81 and 270.89 is: 406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.95 : 991.81 = 270.89 : x
  2. Step 2: Convert to fraction form
    660.95/991.81 = 270.89/x
  3. Step 3: Cross multiply
    660.95x = 991.81 × 270.89
  4. Step 4: Simplify right side
    660.95x = 268,665.77
  5. Step 5: Solve for x
    x = 268,665.77/660.95
  6. Step 6: Final answer
    x = 406.48

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1.5x scale

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.