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Finding the Fourth Proportional to 1,020.31, 1,529.94 and 727.66

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Solution

The fourth proportional to 1,020.31, 1,529.94 and 727.66 is: 1,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.31 : 1,529.94 = 727.66 : x
  2. Step 2: Convert to fraction form
    1,020.31/1,529.94 = 727.66/x
  3. Step 3: Cross multiply
    1,020.31x = 1,529.94 × 727.66
  4. Step 4: Simplify right side
    1,020.31x = 1,113,276.14
  5. Step 5: Solve for x
    x = 1,113,276.14/1,020.31
  6. Step 6: Final answer
    x = 1,091.12

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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.