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Finding the Fourth Proportional to 742.77, 1,114.71 and 280.98

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Solution

The fourth proportional to 742.77, 1,114.71 and 280.98 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,114.71 = 280.98 : x
  2. Step 2: Convert to fraction form
    742.77/1,114.71 = 280.98/x
  3. Step 3: Cross multiply
    742.77x = 1,114.71 × 280.98
  4. Step 4: Simplify right side
    742.77x = 313,211.22
  5. Step 5: Solve for x
    x = 313,211.22/742.77
  6. Step 6: Final answer
    x = 421.68

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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.