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Finding the Fourth Proportional to 619.87, 855.72 and 424.40

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Solution

The fourth proportional to 619.87, 855.72 and 424.40 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.87 : 855.72 = 424.40 : x
  2. Step 2: Convert to fraction form
    619.87/855.72 = 424.40/x
  3. Step 3: Cross multiply
    619.87x = 855.72 × 424.40
  4. Step 4: Simplify right side
    619.87x = 363,167.57
  5. Step 5: Solve for x
    x = 363,167.57/619.87
  6. Step 6: Final answer
    x = 585.88

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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.