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Finding the Fourth Proportional to 868.07, 1,197.69 and 647.09

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Solution

The fourth proportional to 868.07, 1,197.69 and 647.09 is: 892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.07 : 1,197.69 = 647.09 : x
  2. Step 2: Convert to fraction form
    868.07/1,197.69 = 647.09/x
  3. Step 3: Cross multiply
    868.07x = 1,197.69 × 647.09
  4. Step 4: Simplify right side
    868.07x = 775,009.30
  5. Step 5: Solve for x
    x = 775,009.30/868.07
  6. Step 6: Final answer
    x = 892.80

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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.