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Finding the Fourth Proportional to 991.57, 1,488.23 and 773.59

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Solution

The fourth proportional to 991.57, 1,488.23 and 773.59 is: 1,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.57 : 1,488.23 = 773.59 : x
  2. Step 2: Convert to fraction form
    991.57/1,488.23 = 773.59/x
  3. Step 3: Cross multiply
    991.57x = 1,488.23 × 773.59
  4. Step 4: Simplify right side
    991.57x = 1,151,279.85
  5. Step 5: Solve for x
    x = 1,151,279.85/991.57
  6. Step 6: Final answer
    x = 1,161.07

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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.