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Finding the Fourth Proportional to 774.74, 1,159.83 and 408.74

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Solution

The fourth proportional to 774.74, 1,159.83 and 408.74 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,159.83 = 408.74 : x
  2. Step 2: Convert to fraction form
    774.74/1,159.83 = 408.74/x
  3. Step 3: Cross multiply
    774.74x = 1,159.83 × 408.74
  4. Step 4: Simplify right side
    774.74x = 474,068.91
  5. Step 5: Solve for x
    x = 474,068.91/774.74
  6. Step 6: Final answer
    x = 611.91

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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.