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Finding the Fourth Proportional to 743.48, 1,025.38 and 650.12

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Solution

The fourth proportional to 743.48, 1,025.38 and 650.12 is: 896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,025.38 = 650.12 : x
  2. Step 2: Convert to fraction form
    743.48/1,025.38 = 650.12/x
  3. Step 3: Cross multiply
    743.48x = 1,025.38 × 650.12
  4. Step 4: Simplify right side
    743.48x = 666,620.05
  5. Step 5: Solve for x
    x = 666,620.05/743.48
  6. Step 6: Final answer
    x = 896.62

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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.