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Finding the Fourth Proportional to 534.59, 800.43 and 277.55

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Solution

The fourth proportional to 534.59, 800.43 and 277.55 is: 415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.59 : 800.43 = 277.55 : x
  2. Step 2: Convert to fraction form
    534.59/800.43 = 277.55/x
  3. Step 3: Cross multiply
    534.59x = 800.43 × 277.55
  4. Step 4: Simplify right side
    534.59x = 222,159.35
  5. Step 5: Solve for x
    x = 222,159.35/534.59
  6. Step 6: Final answer
    x = 415.57

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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.