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Finding the Fourth Proportional to 1,034.84, 1,550.43 and 548.23

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Solution

The fourth proportional to 1,034.84, 1,550.43 and 548.23 is: 821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.84 : 1,550.43 = 548.23 : x
  2. Step 2: Convert to fraction form
    1,034.84/1,550.43 = 548.23/x
  3. Step 3: Cross multiply
    1,034.84x = 1,550.43 × 548.23
  4. Step 4: Simplify right side
    1,034.84x = 849,992.24
  5. Step 5: Solve for x
    x = 849,992.24/1,034.84
  6. Step 6: Final answer
    x = 821.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.