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Finding the Fourth Proportional to 534.74, 800.96 and 290.75

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Solution

The fourth proportional to 534.74, 800.96 and 290.75 is: 435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 800.96 = 290.75 : x
  2. Step 2: Convert to fraction form
    534.74/800.96 = 290.75/x
  3. Step 3: Cross multiply
    534.74x = 800.96 × 290.75
  4. Step 4: Simplify right side
    534.74x = 232,873.66
  5. Step 5: Solve for x
    x = 232,873.66/534.74
  6. Step 6: Final answer
    x = 435.49

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Similar ratio
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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.