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Finding the Fourth Proportional to 727.76, 1,091.64 and 294.92

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Solution

The fourth proportional to 727.76, 1,091.64 and 294.92 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,091.64 = 294.92 : x
  2. Step 2: Convert to fraction form
    727.76/1,091.64 = 294.92/x
  3. Step 3: Cross multiply
    727.76x = 1,091.64 × 294.92
  4. Step 4: Simplify right side
    727.76x = 321,946.47
  5. Step 5: Solve for x
    x = 321,946.47/727.76
  6. Step 6: Final answer
    x = 442.38

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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.