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Finding the Fourth Proportional to 773, 1,159.26 and 225.08

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Solution

The fourth proportional to 773, 1,159.26 and 225.08 is: 337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    773 : 1,159.26 = 225.08 : x
  2. Step 2: Convert to fraction form
    773/1,159.26 = 225.08/x
  3. Step 3: Cross multiply
    773x = 1,159.26 × 225.08
  4. Step 4: Simplify right side
    773x = 260,926.24
  5. Step 5: Solve for x
    x = 260,926.24/773
  6. Step 6: Final answer
    x = 337.55

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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.