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Finding the Fourth Proportional to 578.40, 865.72 and 440.70

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Solution

The fourth proportional to 578.40, 865.72 and 440.70 is: 659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 865.72 = 440.70 : x
  2. Step 2: Convert to fraction form
    578.40/865.72 = 440.70/x
  3. Step 3: Cross multiply
    578.40x = 865.72 × 440.70
  4. Step 4: Simplify right side
    578.40x = 381,522.80
  5. Step 5: Solve for x
    x = 381,522.80/578.40
  6. Step 6: Final answer
    x = 659.62

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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.