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Finding the Fourth Proportional to 774.63, 1,061.81 and 764.25

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Solution

The fourth proportional to 774.63, 1,061.81 and 764.25 is: 1,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,061.81 = 764.25 : x
  2. Step 2: Convert to fraction form
    774.63/1,061.81 = 764.25/x
  3. Step 3: Cross multiply
    774.63x = 1,061.81 × 764.25
  4. Step 4: Simplify right side
    774.63x = 811,488.29
  5. Step 5: Solve for x
    x = 811,488.29/774.63
  6. Step 6: Final answer
    x = 1,047.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.