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Finding the Fourth Proportional to 505.06, 753.73 and 450.38

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Solution

The fourth proportional to 505.06, 753.73 and 450.38 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 753.73 = 450.38 : x
  2. Step 2: Convert to fraction form
    505.06/753.73 = 450.38/x
  3. Step 3: Cross multiply
    505.06x = 753.73 × 450.38
  4. Step 4: Simplify right side
    505.06x = 339,465.68
  5. Step 5: Solve for x
    x = 339,465.68/505.06
  6. Step 6: Final answer
    x = 672.13

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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.