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Finding the Fourth Proportional to 619.96, 855.16 and 384.02

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Solution

The fourth proportional to 619.96, 855.16 and 384.02 is: 529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.96 : 855.16 = 384.02 : x
  2. Step 2: Convert to fraction form
    619.96/855.16 = 384.02/x
  3. Step 3: Cross multiply
    619.96x = 855.16 × 384.02
  4. Step 4: Simplify right side
    619.96x = 328,398.54
  5. Step 5: Solve for x
    x = 328,398.54/619.96
  6. Step 6: Final answer
    x = 529.71

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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.