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Finding the Fourth Proportional to 736.88, 1,018.24 and 537.37

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Solution

The fourth proportional to 736.88, 1,018.24 and 537.37 is: 742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.88 : 1,018.24 = 537.37 : x
  2. Step 2: Convert to fraction form
    736.88/1,018.24 = 537.37/x
  3. Step 3: Cross multiply
    736.88x = 1,018.24 × 537.37
  4. Step 4: Simplify right side
    736.88x = 547,171.63
  5. Step 5: Solve for x
    x = 547,171.63/736.88
  6. Step 6: Final answer
    x = 742.55

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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.