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Finding the Fourth Proportional to 777.89, 1,167.06 and 230.09

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Solution

The fourth proportional to 777.89, 1,167.06 and 230.09 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.89 : 1,167.06 = 230.09 : x
  2. Step 2: Convert to fraction form
    777.89/1,167.06 = 230.09/x
  3. Step 3: Cross multiply
    777.89x = 1,167.06 × 230.09
  4. Step 4: Simplify right side
    777.89x = 268,526.92
  5. Step 5: Solve for x
    x = 268,526.92/777.89
  6. Step 6: Final answer
    x = 345.20

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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.