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Finding the Fourth Proportional to 810.82, 1,118.64 and 732.25

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Solution

The fourth proportional to 810.82, 1,118.64 and 732.25 is: 1,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.82 : 1,118.64 = 732.25 : x
  2. Step 2: Convert to fraction form
    810.82/1,118.64 = 732.25/x
  3. Step 3: Cross multiply
    810.82x = 1,118.64 × 732.25
  4. Step 4: Simplify right side
    810.82x = 819,124.14
  5. Step 5: Solve for x
    x = 819,124.14/810.82
  6. Step 6: Final answer
    x = 1,010.24

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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.