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Finding the Fourth Proportional to 771.66, 1,150 and 747.06

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Solution

The fourth proportional to 771.66, 1,150 and 747.06 is: 1,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,150 = 747.06 : x
  2. Step 2: Convert to fraction form
    771.66/1,150 = 747.06/x
  3. Step 3: Cross multiply
    771.66x = 1,150 × 747.06
  4. Step 4: Simplify right side
    771.66x = 859,119.00
  5. Step 5: Solve for x
    x = 859,119.00/771.66
  6. Step 6: Final answer
    x = 1,113.34

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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.