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Finding the Fourth Proportional to 743.84, 1,025.62 and 659.73

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Solution

The fourth proportional to 743.84, 1,025.62 and 659.73 is: 909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.84 : 1,025.62 = 659.73 : x
  2. Step 2: Convert to fraction form
    743.84/1,025.62 = 659.73/x
  3. Step 3: Cross multiply
    743.84x = 1,025.62 × 659.73
  4. Step 4: Simplify right side
    743.84x = 676,632.28
  5. Step 5: Solve for x
    x = 676,632.28/743.84
  6. Step 6: Final answer
    x = 909.65

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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.