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Finding the Fourth Proportional to 607.05, 909.36 and 298.71

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Solution

The fourth proportional to 607.05, 909.36 and 298.71 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.05 : 909.36 = 298.71 : x
  2. Step 2: Convert to fraction form
    607.05/909.36 = 298.71/x
  3. Step 3: Cross multiply
    607.05x = 909.36 × 298.71
  4. Step 4: Simplify right side
    607.05x = 271,634.93
  5. Step 5: Solve for x
    x = 271,634.93/607.05
  6. Step 6: Final answer
    x = 447.47

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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.