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Finding the Fourth Proportional to 727.29, 1,083.50 and 692.46

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Solution

The fourth proportional to 727.29, 1,083.50 and 692.46 is: 1,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.29 : 1,083.50 = 692.46 : x
  2. Step 2: Convert to fraction form
    727.29/1,083.50 = 692.46/x
  3. Step 3: Cross multiply
    727.29x = 1,083.50 × 692.46
  4. Step 4: Simplify right side
    727.29x = 750,276.95
  5. Step 5: Solve for x
    x = 750,276.95/727.29
  6. Step 6: Final answer
    x = 1,031.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.