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Finding the Fourth Proportional to 623.92, 934.34 and 440.44

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Solution

The fourth proportional to 623.92, 934.34 and 440.44 is: 659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.92 : 934.34 = 440.44 : x
  2. Step 2: Convert to fraction form
    623.92/934.34 = 440.44/x
  3. Step 3: Cross multiply
    623.92x = 934.34 × 440.44
  4. Step 4: Simplify right side
    623.92x = 411,520.71
  5. Step 5: Solve for x
    x = 411,520.71/623.92
  6. Step 6: Final answer
    x = 659.57

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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.