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Finding the Fourth Proportional to 505.24, 753.92 and 450.76

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Solution

The fourth proportional to 505.24, 753.92 and 450.76 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 753.92 = 450.76 : x
  2. Step 2: Convert to fraction form
    505.24/753.92 = 450.76/x
  3. Step 3: Cross multiply
    505.24x = 753.92 × 450.76
  4. Step 4: Simplify right side
    505.24x = 339,836.98
  5. Step 5: Solve for x
    x = 339,836.98/505.24
  6. Step 6: Final answer
    x = 672.62

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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.