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Finding the Fourth Proportional to 743.39, 1,113.25 and 596.10

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Solution

The fourth proportional to 743.39, 1,113.25 and 596.10 is: 892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.39 : 1,113.25 = 596.10 : x
  2. Step 2: Convert to fraction form
    743.39/1,113.25 = 596.10/x
  3. Step 3: Cross multiply
    743.39x = 1,113.25 × 596.10
  4. Step 4: Simplify right side
    743.39x = 663,608.33
  5. Step 5: Solve for x
    x = 663,608.33/743.39
  6. Step 6: Final answer
    x = 892.68

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Double scale
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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.