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Finding the Fourth Proportional to 633.32, 948.96 and 416.50

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Solution

The fourth proportional to 633.32, 948.96 and 416.50 is: 624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.32 : 948.96 = 416.50 : x
  2. Step 2: Convert to fraction form
    633.32/948.96 = 416.50/x
  3. Step 3: Cross multiply
    633.32x = 948.96 × 416.50
  4. Step 4: Simplify right side
    633.32x = 395,241.84
  5. Step 5: Solve for x
    x = 395,241.84/633.32
  6. Step 6: Final answer
    x = 624.08

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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.