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Finding the Fourth Proportional to 743.45, 1,025.84 and 444.64

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Solution

The fourth proportional to 743.45, 1,025.84 and 444.64 is: 613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.45 : 1,025.84 = 444.64 : x
  2. Step 2: Convert to fraction form
    743.45/1,025.84 = 444.64/x
  3. Step 3: Cross multiply
    743.45x = 1,025.84 × 444.64
  4. Step 4: Simplify right side
    743.45x = 456,128.72
  5. Step 5: Solve for x
    x = 456,128.72/743.45
  6. Step 6: Final answer
    x = 613.53

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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.