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Finding the Fourth Proportional to 727.59, 1,091.27 and 604.98

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Solution

The fourth proportional to 727.59, 1,091.27 and 604.98 is: 907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.59 : 1,091.27 = 604.98 : x
  2. Step 2: Convert to fraction form
    727.59/1,091.27 = 604.98/x
  3. Step 3: Cross multiply
    727.59x = 1,091.27 × 604.98
  4. Step 4: Simplify right side
    727.59x = 660,193.50
  5. Step 5: Solve for x
    x = 660,193.50/727.59
  6. Step 6: Final answer
    x = 907.37

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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.