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Finding the Fourth Proportional to 505.23, 752.97 and 500.97

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Solution

The fourth proportional to 505.23, 752.97 and 500.97 is: 746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 752.97 = 500.97 : x
  2. Step 2: Convert to fraction form
    505.23/752.97 = 500.97/x
  3. Step 3: Cross multiply
    505.23x = 752.97 × 500.97
  4. Step 4: Simplify right side
    505.23x = 377,215.38
  5. Step 5: Solve for x
    x = 377,215.38/505.23
  6. Step 6: Final answer
    x = 746.62

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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.