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Finding the Fourth Proportional to 757.11, 1,044.63 and 533.55

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Solution

The fourth proportional to 757.11, 1,044.63 and 533.55 is: 736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.11 : 1,044.63 = 533.55 : x
  2. Step 2: Convert to fraction form
    757.11/1,044.63 = 533.55/x
  3. Step 3: Cross multiply
    757.11x = 1,044.63 × 533.55
  4. Step 4: Simplify right side
    757.11x = 557,362.34
  5. Step 5: Solve for x
    x = 557,362.34/757.11
  6. Step 6: Final answer
    x = 736.17

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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.