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Finding the Fourth Proportional to 1,216.88, 1,679.55 and 774.68

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Solution

The fourth proportional to 1,216.88, 1,679.55 and 774.68 is: 1,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.88 : 1,679.55 = 774.68 : x
  2. Step 2: Convert to fraction form
    1,216.88/1,679.55 = 774.68/x
  3. Step 3: Cross multiply
    1,216.88x = 1,679.55 × 774.68
  4. Step 4: Simplify right side
    1,216.88x = 1,301,117.99
  5. Step 5: Solve for x
    x = 1,301,117.99/1,216.88
  6. Step 6: Final answer
    x = 1,069.23

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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.