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Finding the Fourth Proportional to 774.97, 1,069.61 and 480.37

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Solution

The fourth proportional to 774.97, 1,069.61 and 480.37 is: 663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.97 : 1,069.61 = 480.37 : x
  2. Step 2: Convert to fraction form
    774.97/1,069.61 = 480.37/x
  3. Step 3: Cross multiply
    774.97x = 1,069.61 × 480.37
  4. Step 4: Simplify right side
    774.97x = 513,808.56
  5. Step 5: Solve for x
    x = 513,808.56/774.97
  6. Step 6: Final answer
    x = 663.00

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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.