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Finding the Fourth Proportional to 731.58, 1,005.77 and 727.20

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Solution

The fourth proportional to 731.58, 1,005.77 and 727.20 is: 999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.58 : 1,005.77 = 727.20 : x
  2. Step 2: Convert to fraction form
    731.58/1,005.77 = 727.20/x
  3. Step 3: Cross multiply
    731.58x = 1,005.77 × 727.20
  4. Step 4: Simplify right side
    731.58x = 731,392.31
  5. Step 5: Solve for x
    x = 731,392.31/731.58
  6. Step 6: Final answer
    x = 999.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.