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Finding the Fourth Proportional to 864.74, 1,192.97 and 533.27

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Solution

The fourth proportional to 864.74, 1,192.97 and 533.27 is: 735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.74 : 1,192.97 = 533.27 : x
  2. Step 2: Convert to fraction form
    864.74/1,192.97 = 533.27/x
  3. Step 3: Cross multiply
    864.74x = 1,192.97 × 533.27
  4. Step 4: Simplify right side
    864.74x = 636,179.43
  5. Step 5: Solve for x
    x = 636,179.43/864.74
  6. Step 6: Final answer
    x = 735.69

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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.