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Finding the Fourth Proportional to 431.41, 649.47 and 393.14

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Solution

The fourth proportional to 431.41, 649.47 and 393.14 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.41 : 649.47 = 393.14 : x
  2. Step 2: Convert to fraction form
    431.41/649.47 = 393.14/x
  3. Step 3: Cross multiply
    431.41x = 649.47 × 393.14
  4. Step 4: Simplify right side
    431.41x = 255,331.65
  5. Step 5: Solve for x
    x = 255,331.65/431.41
  6. Step 6: Final answer
    x = 591.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.