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Finding the Fourth Proportional to 918.44, 1,266.18 and 732.56

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Solution

The fourth proportional to 918.44, 1,266.18 and 732.56 is: 1,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.44 : 1,266.18 = 732.56 : x
  2. Step 2: Convert to fraction form
    918.44/1,266.18 = 732.56/x
  3. Step 3: Cross multiply
    918.44x = 1,266.18 × 732.56
  4. Step 4: Simplify right side
    918.44x = 927,552.82
  5. Step 5: Solve for x
    x = 927,552.82/918.44
  6. Step 6: Final answer
    x = 1,009.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.