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Finding the Fourth Proportional to 771.98, 1,065.56 and 756.49

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Solution

The fourth proportional to 771.98, 1,065.56 and 756.49 is: 1,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,065.56 = 756.49 : x
  2. Step 2: Convert to fraction form
    771.98/1,065.56 = 756.49/x
  3. Step 3: Cross multiply
    771.98x = 1,065.56 × 756.49
  4. Step 4: Simplify right side
    771.98x = 806,081.04
  5. Step 5: Solve for x
    x = 806,081.04/771.98
  6. Step 6: Final answer
    x = 1,044.17

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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.