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Finding the Fourth Proportional to 534.50, 796.23 and 500.88

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Solution

The fourth proportional to 534.50, 796.23 and 500.88 is: 746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 796.23 = 500.88 : x
  2. Step 2: Convert to fraction form
    534.50/796.23 = 500.88/x
  3. Step 3: Cross multiply
    534.50x = 796.23 × 500.88
  4. Step 4: Simplify right side
    534.50x = 398,818.67
  5. Step 5: Solve for x
    x = 398,818.67/534.50
  6. Step 6: Final answer
    x = 746.15

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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.