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Finding the Fourth Proportional to 431.82, 647.01 and 301.50

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Solution

The fourth proportional to 431.82, 647.01 and 301.50 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.82 : 647.01 = 301.50 : x
  2. Step 2: Convert to fraction form
    431.82/647.01 = 301.50/x
  3. Step 3: Cross multiply
    431.82x = 647.01 × 301.50
  4. Step 4: Simplify right side
    431.82x = 195,073.52
  5. Step 5: Solve for x
    x = 195,073.52/431.82
  6. Step 6: Final answer
    x = 451.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.