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Finding the Fourth Proportional to 534.50, 800.63 and 339.40

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Solution

The fourth proportional to 534.50, 800.63 and 339.40 is: 508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 800.63 = 339.40 : x
  2. Step 2: Convert to fraction form
    534.50/800.63 = 339.40/x
  3. Step 3: Cross multiply
    534.50x = 800.63 × 339.40
  4. Step 4: Simplify right side
    534.50x = 271,732.13
  5. Step 5: Solve for x
    x = 271,732.13/534.50
  6. Step 6: Final answer
    x = 508.39

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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.