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Finding the Fourth Proportional to 810.82, 1,118.07 and 531.30

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Solution

The fourth proportional to 810.82, 1,118.07 and 531.30 is: 732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.82 : 1,118.07 = 531.30 : x
  2. Step 2: Convert to fraction form
    810.82/1,118.07 = 531.30/x
  3. Step 3: Cross multiply
    810.82x = 1,118.07 × 531.30
  4. Step 4: Simplify right side
    810.82x = 594,030.59
  5. Step 5: Solve for x
    x = 594,030.59/810.82
  6. Step 6: Final answer
    x = 732.63

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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.