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Finding the Fourth Proportional to 777.71, 1,166.40 and 229.76

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Solution

The fourth proportional to 777.71, 1,166.40 and 229.76 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.71 : 1,166.40 = 229.76 : x
  2. Step 2: Convert to fraction form
    777.71/1,166.40 = 229.76/x
  3. Step 3: Cross multiply
    777.71x = 1,166.40 × 229.76
  4. Step 4: Simplify right side
    777.71x = 267,986.23
  5. Step 5: Solve for x
    x = 267,986.23/777.71
  6. Step 6: Final answer
    x = 344.59

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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.