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Finding the Fourth Proportional to 535.45, 801.96 and 419.17

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Solution

The fourth proportional to 535.45, 801.96 and 419.17 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.45 : 801.96 = 419.17 : x
  2. Step 2: Convert to fraction form
    535.45/801.96 = 419.17/x
  3. Step 3: Cross multiply
    535.45x = 801.96 × 419.17
  4. Step 4: Simplify right side
    535.45x = 336,157.57
  5. Step 5: Solve for x
    x = 336,157.57/535.45
  6. Step 6: Final answer
    x = 627.80

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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.