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Finding the Fourth Proportional to 743.82, 1,025.53 and 617.76

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Solution

The fourth proportional to 743.82, 1,025.53 and 617.76 is: 851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.82 : 1,025.53 = 617.76 : x
  2. Step 2: Convert to fraction form
    743.82/1,025.53 = 617.76/x
  3. Step 3: Cross multiply
    743.82x = 1,025.53 × 617.76
  4. Step 4: Simplify right side
    743.82x = 633,529.87
  5. Step 5: Solve for x
    x = 633,529.87/743.82
  6. Step 6: Final answer
    x = 851.73

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Double scale
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1.5x scale

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.