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Finding the Fourth Proportional to 619.86, 855.78 and 433.02

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Solution

The fourth proportional to 619.86, 855.78 and 433.02 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.86 : 855.78 = 433.02 : x
  2. Step 2: Convert to fraction form
    619.86/855.78 = 433.02/x
  3. Step 3: Cross multiply
    619.86x = 855.78 × 433.02
  4. Step 4: Simplify right side
    619.86x = 370,569.86
  5. Step 5: Solve for x
    x = 370,569.86/619.86
  6. Step 6: Final answer
    x = 597.83

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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.