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Finding the Fourth Proportional to 965.32, 1,446.86 and 416.95

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Solution

The fourth proportional to 965.32, 1,446.86 and 416.95 is: 624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.32 : 1,446.86 = 416.95 : x
  2. Step 2: Convert to fraction form
    965.32/1,446.86 = 416.95/x
  3. Step 3: Cross multiply
    965.32x = 1,446.86 × 416.95
  4. Step 4: Simplify right side
    965.32x = 603,265.70
  5. Step 5: Solve for x
    x = 603,265.70/965.32
  6. Step 6: Final answer
    x = 624.94

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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.