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Finding the Fourth Proportional to 864.21, 1,192.68 and 584.49

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Solution

The fourth proportional to 864.21, 1,192.68 and 584.49 is: 806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.21 : 1,192.68 = 584.49 : x
  2. Step 2: Convert to fraction form
    864.21/1,192.68 = 584.49/x
  3. Step 3: Cross multiply
    864.21x = 1,192.68 × 584.49
  4. Step 4: Simplify right side
    864.21x = 697,109.53
  5. Step 5: Solve for x
    x = 697,109.53/864.21
  6. Step 6: Final answer
    x = 806.64

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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.