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Finding the Fourth Proportional to 774.26, 1,161.42 and 592.78

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Solution

The fourth proportional to 774.26, 1,161.42 and 592.78 is: 889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.26 : 1,161.42 = 592.78 : x
  2. Step 2: Convert to fraction form
    774.26/1,161.42 = 592.78/x
  3. Step 3: Cross multiply
    774.26x = 1,161.42 × 592.78
  4. Step 4: Simplify right side
    774.26x = 688,466.55
  5. Step 5: Solve for x
    x = 688,466.55/774.26
  6. Step 6: Final answer
    x = 889.19

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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.