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Finding the Fourth Proportional to 619.96, 854.92 and 433.12

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Solution

The fourth proportional to 619.96, 854.92 and 433.12 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.96 : 854.92 = 433.12 : x
  2. Step 2: Convert to fraction form
    619.96/854.92 = 433.12/x
  3. Step 3: Cross multiply
    619.96x = 854.92 × 433.12
  4. Step 4: Simplify right side
    619.96x = 370,282.95
  5. Step 5: Solve for x
    x = 370,282.95/619.96
  6. Step 6: Final answer
    x = 597.27

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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.