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Finding the Fourth Proportional to 649.49, 897.03 and 429.42

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Solution

The fourth proportional to 649.49, 897.03 and 429.42 is: 593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 897.03 = 429.42 : x
  2. Step 2: Convert to fraction form
    649.49/897.03 = 429.42/x
  3. Step 3: Cross multiply
    649.49x = 897.03 × 429.42
  4. Step 4: Simplify right side
    649.49x = 385,202.62
  5. Step 5: Solve for x
    x = 385,202.62/649.49
  6. Step 6: Final answer
    x = 593.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.