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Finding the Fourth Proportional to 865.30, 1,291.26 and 773

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Solution

The fourth proportional to 865.30, 1,291.26 and 773 is: 1,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.30 : 1,291.26 = 773 : x
  2. Step 2: Convert to fraction form
    865.30/1,291.26 = 773/x
  3. Step 3: Cross multiply
    865.30x = 1,291.26 × 773
  4. Step 4: Simplify right side
    865.30x = 998,143.98
  5. Step 5: Solve for x
    x = 998,143.98/865.30
  6. Step 6: Final answer
    x = 1,153.52

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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.