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Finding the Fourth Proportional to 742.66, 1,114.08 and 255.67

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Solution

The fourth proportional to 742.66, 1,114.08 and 255.67 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.66 : 1,114.08 = 255.67 : x
  2. Step 2: Convert to fraction form
    742.66/1,114.08 = 255.67/x
  3. Step 3: Cross multiply
    742.66x = 1,114.08 × 255.67
  4. Step 4: Simplify right side
    742.66x = 284,836.83
  5. Step 5: Solve for x
    x = 284,836.83/742.66
  6. Step 6: Final answer
    x = 383.54

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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.