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Finding the Fourth Proportional to 867.02, 1,195.56 and 571.78

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Solution

The fourth proportional to 867.02, 1,195.56 and 571.78 is: 788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.02 : 1,195.56 = 571.78 : x
  2. Step 2: Convert to fraction form
    867.02/1,195.56 = 571.78/x
  3. Step 3: Cross multiply
    867.02x = 1,195.56 × 571.78
  4. Step 4: Simplify right side
    867.02x = 683,597.30
  5. Step 5: Solve for x
    x = 683,597.30/867.02
  6. Step 6: Final answer
    x = 788.44

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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.