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Finding the Fourth Proportional to 473.02, 649.25 and 419.38

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Solution

The fourth proportional to 473.02, 649.25 and 419.38 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 649.25 = 419.38 : x
  2. Step 2: Convert to fraction form
    473.02/649.25 = 419.38/x
  3. Step 3: Cross multiply
    473.02x = 649.25 × 419.38
  4. Step 4: Simplify right side
    473.02x = 272,282.47
  5. Step 5: Solve for x
    x = 272,282.47/473.02
  6. Step 6: Final answer
    x = 575.63

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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.