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Finding the Fourth Proportional to 867.81, 1,301.82 and 543.21

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Solution

The fourth proportional to 867.81, 1,301.82 and 543.21 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.81 : 1,301.82 = 543.21 : x
  2. Step 2: Convert to fraction form
    867.81/1,301.82 = 543.21/x
  3. Step 3: Cross multiply
    867.81x = 1,301.82 × 543.21
  4. Step 4: Simplify right side
    867.81x = 707,157.78
  5. Step 5: Solve for x
    x = 707,157.78/867.81
  6. Step 6: Final answer
    x = 814.87

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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.