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Finding the Fourth Proportional to 743.25, 1,112.82 and 483.55

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Solution

The fourth proportional to 743.25, 1,112.82 and 483.55 is: 723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.25 : 1,112.82 = 483.55 : x
  2. Step 2: Convert to fraction form
    743.25/1,112.82 = 483.55/x
  3. Step 3: Cross multiply
    743.25x = 1,112.82 × 483.55
  4. Step 4: Simplify right side
    743.25x = 538,104.11
  5. Step 5: Solve for x
    x = 538,104.11/743.25
  6. Step 6: Final answer
    x = 723.99

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1.5x scale

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.