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Finding the Fourth Proportional to 607.43, 909.70 and 314.15

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Solution

The fourth proportional to 607.43, 909.70 and 314.15 is: 470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.43 : 909.70 = 314.15 : x
  2. Step 2: Convert to fraction form
    607.43/909.70 = 314.15/x
  3. Step 3: Cross multiply
    607.43x = 909.70 × 314.15
  4. Step 4: Simplify right side
    607.43x = 285,776.92
  5. Step 5: Solve for x
    x = 285,776.92/607.43
  6. Step 6: Final answer
    x = 470.47

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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.