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Finding the Fourth Proportional to 508.20, 759.12 and 499.56

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Solution

The fourth proportional to 508.20, 759.12 and 499.56 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 759.12 = 499.56 : x
  2. Step 2: Convert to fraction form
    508.20/759.12 = 499.56/x
  3. Step 3: Cross multiply
    508.20x = 759.12 × 499.56
  4. Step 4: Simplify right side
    508.20x = 379,225.99
  5. Step 5: Solve for x
    x = 379,225.99/508.20
  6. Step 6: Final answer
    x = 746.21

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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.