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Finding the Fourth Proportional to 645.52, 969.82 and 414.86

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Solution

The fourth proportional to 645.52, 969.82 and 414.86 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 969.82 = 414.86 : x
  2. Step 2: Convert to fraction form
    645.52/969.82 = 414.86/x
  3. Step 3: Cross multiply
    645.52x = 969.82 × 414.86
  4. Step 4: Simplify right side
    645.52x = 402,339.53
  5. Step 5: Solve for x
    x = 402,339.53/645.52
  6. Step 6: Final answer
    x = 623.28

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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.