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Finding the Fourth Proportional to 774.43, 1,069.08 and 490.99

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Solution

The fourth proportional to 774.43, 1,069.08 and 490.99 is: 677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.43 : 1,069.08 = 490.99 : x
  2. Step 2: Convert to fraction form
    774.43/1,069.08 = 490.99/x
  3. Step 3: Cross multiply
    774.43x = 1,069.08 × 490.99
  4. Step 4: Simplify right side
    774.43x = 524,899.79
  5. Step 5: Solve for x
    x = 524,899.79/774.43
  6. Step 6: Final answer
    x = 677.79

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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.