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Finding the Fourth Proportional to 727.15, 1,090.84 and 687.77

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Solution

The fourth proportional to 727.15, 1,090.84 and 687.77 is: 1,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.15 : 1,090.84 = 687.77 : x
  2. Step 2: Convert to fraction form
    727.15/1,090.84 = 687.77/x
  3. Step 3: Cross multiply
    727.15x = 1,090.84 × 687.77
  4. Step 4: Simplify right side
    727.15x = 750,244.10
  5. Step 5: Solve for x
    x = 750,244.10/727.15
  6. Step 6: Final answer
    x = 1,031.76

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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.