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Finding the Fourth Proportional to 771, 1,150.95 and 661.56

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Solution

The fourth proportional to 771, 1,150.95 and 661.56 is: 987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771 : 1,150.95 = 661.56 : x
  2. Step 2: Convert to fraction form
    771/1,150.95 = 661.56/x
  3. Step 3: Cross multiply
    771x = 1,150.95 × 661.56
  4. Step 4: Simplify right side
    771x = 761,422.48
  5. Step 5: Solve for x
    x = 761,422.48/771
  6. Step 6: Final answer
    x = 987.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.