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Finding the Fourth Proportional to 774.11, 1,159.23 and 541.91

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Solution

The fourth proportional to 774.11, 1,159.23 and 541.91 is: 811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.11 : 1,159.23 = 541.91 : x
  2. Step 2: Convert to fraction form
    774.11/1,159.23 = 541.91/x
  3. Step 3: Cross multiply
    774.11x = 1,159.23 × 541.91
  4. Step 4: Simplify right side
    774.11x = 628,196.74
  5. Step 5: Solve for x
    x = 628,196.74/774.11
  6. Step 6: Final answer
    x = 811.51

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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.