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Finding the Fourth Proportional to 431.98, 650.32 and 387.33

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Solution

The fourth proportional to 431.98, 650.32 and 387.33 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 650.32 = 387.33 : x
  2. Step 2: Convert to fraction form
    431.98/650.32 = 387.33/x
  3. Step 3: Cross multiply
    431.98x = 650.32 × 387.33
  4. Step 4: Simplify right side
    431.98x = 251,887.48
  5. Step 5: Solve for x
    x = 251,887.48/431.98
  6. Step 6: Final answer
    x = 583.10

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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.