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Finding the Fourth Proportional to 431.05, 643.26 and 384.92

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Solution

The fourth proportional to 431.05, 643.26 and 384.92 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.05 : 643.26 = 384.92 : x
  2. Step 2: Convert to fraction form
    431.05/643.26 = 384.92/x
  3. Step 3: Cross multiply
    431.05x = 643.26 × 384.92
  4. Step 4: Simplify right side
    431.05x = 247,601.14
  5. Step 5: Solve for x
    x = 247,601.14/431.05
  6. Step 6: Final answer
    x = 574.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.