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Finding the Fourth Proportional to 774.18, 1,069.38 and 610.47

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Solution

The fourth proportional to 774.18, 1,069.38 and 610.47 is: 843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.18 : 1,069.38 = 610.47 : x
  2. Step 2: Convert to fraction form
    774.18/1,069.38 = 610.47/x
  3. Step 3: Cross multiply
    774.18x = 1,069.38 × 610.47
  4. Step 4: Simplify right side
    774.18x = 652,824.41
  5. Step 5: Solve for x
    x = 652,824.41/774.18
  6. Step 6: Final answer
    x = 843.25

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1.5x scale

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.