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Finding the Fourth Proportional to 867.34, 1,197.89 and 813.07

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Solution

The fourth proportional to 867.34, 1,197.89 and 813.07 is: 1,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.34 : 1,197.89 = 813.07 : x
  2. Step 2: Convert to fraction form
    867.34/1,197.89 = 813.07/x
  3. Step 3: Cross multiply
    867.34x = 1,197.89 × 813.07
  4. Step 4: Simplify right side
    867.34x = 973,968.42
  5. Step 5: Solve for x
    x = 973,968.42/867.34
  6. Step 6: Final answer
    x = 1,122.94

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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.