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Finding the Fourth Proportional to 534.90, 797.04 and 508.78

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Solution

The fourth proportional to 534.90, 797.04 and 508.78 is: 758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 797.04 = 508.78 : x
  2. Step 2: Convert to fraction form
    534.90/797.04 = 508.78/x
  3. Step 3: Cross multiply
    534.90x = 797.04 × 508.78
  4. Step 4: Simplify right side
    534.90x = 405,519.01
  5. Step 5: Solve for x
    x = 405,519.01/534.90
  6. Step 6: Final answer
    x = 758.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.