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Finding the Fourth Proportional to 624.32, 936.84 and 431.60

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Solution

The fourth proportional to 624.32, 936.84 and 431.60 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.32 : 936.84 = 431.60 : x
  2. Step 2: Convert to fraction form
    624.32/936.84 = 431.60/x
  3. Step 3: Cross multiply
    624.32x = 936.84 × 431.60
  4. Step 4: Simplify right side
    624.32x = 404,340.14
  5. Step 5: Solve for x
    x = 404,340.14/624.32
  6. Step 6: Final answer
    x = 647.65

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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.