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Finding the Fourth Proportional to 649.99, 897.38 and 429.31

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Solution

The fourth proportional to 649.99, 897.38 and 429.31 is: 592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 897.38 = 429.31 : x
  2. Step 2: Convert to fraction form
    649.99/897.38 = 429.31/x
  3. Step 3: Cross multiply
    649.99x = 897.38 × 429.31
  4. Step 4: Simplify right side
    649.99x = 385,254.21
  5. Step 5: Solve for x
    x = 385,254.21/649.99
  6. Step 6: Final answer
    x = 592.71

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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.