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Finding the Fourth Proportional to 774.66, 1,069.02 and 425.37

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Solution

The fourth proportional to 774.66, 1,069.02 and 425.37 is: 587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.66 : 1,069.02 = 425.37 : x
  2. Step 2: Convert to fraction form
    774.66/1,069.02 = 425.37/x
  3. Step 3: Cross multiply
    774.66x = 1,069.02 × 425.37
  4. Step 4: Simplify right side
    774.66x = 454,729.04
  5. Step 5: Solve for x
    x = 454,729.04/774.66
  6. Step 6: Final answer
    x = 587.00

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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.