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Finding the Fourth Proportional to 473, 649.28 and 452.96

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Solution

The fourth proportional to 473, 649.28 and 452.96 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473 : 649.28 = 452.96 : x
  2. Step 2: Convert to fraction form
    473/649.28 = 452.96/x
  3. Step 3: Cross multiply
    473x = 649.28 × 452.96
  4. Step 4: Simplify right side
    473x = 294,097.87
  5. Step 5: Solve for x
    x = 294,097.87/473
  6. Step 6: Final answer
    x = 621.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.