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Finding the Fourth Proportional to 774.71, 1,162.07 and 544.63

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Solution

The fourth proportional to 774.71, 1,162.07 and 544.63 is: 816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.71 : 1,162.07 = 544.63 : x
  2. Step 2: Convert to fraction form
    774.71/1,162.07 = 544.63/x
  3. Step 3: Cross multiply
    774.71x = 1,162.07 × 544.63
  4. Step 4: Simplify right side
    774.71x = 632,896.78
  5. Step 5: Solve for x
    x = 632,896.78/774.71
  6. Step 6: Final answer
    x = 816.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.