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Finding the Fourth Proportional to 751.72, 1,127.28 and 264.66

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Solution

The fourth proportional to 751.72, 1,127.28 and 264.66 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.72 : 1,127.28 = 264.66 : x
  2. Step 2: Convert to fraction form
    751.72/1,127.28 = 264.66/x
  3. Step 3: Cross multiply
    751.72x = 1,127.28 × 264.66
  4. Step 4: Simplify right side
    751.72x = 298,345.92
  5. Step 5: Solve for x
    x = 298,345.92/751.72
  6. Step 6: Final answer
    x = 396.88

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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.