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Finding the Fourth Proportional to 743.69, 1,027.61 and 533.49

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Solution

The fourth proportional to 743.69, 1,027.61 and 533.49 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.69 : 1,027.61 = 533.49 : x
  2. Step 2: Convert to fraction form
    743.69/1,027.61 = 533.49/x
  3. Step 3: Cross multiply
    743.69x = 1,027.61 × 533.49
  4. Step 4: Simplify right side
    743.69x = 548,216.99
  5. Step 5: Solve for x
    x = 548,216.99/743.69
  6. Step 6: Final answer
    x = 737.16

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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.