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Finding the Fourth Proportional to 774.79, 1,157.92 and 729.83

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Solution

The fourth proportional to 774.79, 1,157.92 and 729.83 is: 1,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.79 : 1,157.92 = 729.83 : x
  2. Step 2: Convert to fraction form
    774.79/1,157.92 = 729.83/x
  3. Step 3: Cross multiply
    774.79x = 1,157.92 × 729.83
  4. Step 4: Simplify right side
    774.79x = 845,085.82
  5. Step 5: Solve for x
    x = 845,085.82/774.79
  6. Step 6: Final answer
    x = 1,090.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.