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Finding the Fourth Proportional to 431.08, 649.87 and 403.24

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Solution

The fourth proportional to 431.08, 649.87 and 403.24 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.08 : 649.87 = 403.24 : x
  2. Step 2: Convert to fraction form
    431.08/649.87 = 403.24/x
  3. Step 3: Cross multiply
    431.08x = 649.87 × 403.24
  4. Step 4: Simplify right side
    431.08x = 262,053.58
  5. Step 5: Solve for x
    x = 262,053.58/431.08
  6. Step 6: Final answer
    x = 607.90

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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.