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Finding the Fourth Proportional to 445.60, 669.16 and 422.52

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Solution

The fourth proportional to 445.60, 669.16 and 422.52 is: 634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.60 : 669.16 = 422.52 : x
  2. Step 2: Convert to fraction form
    445.60/669.16 = 422.52/x
  3. Step 3: Cross multiply
    445.60x = 669.16 × 422.52
  4. Step 4: Simplify right side
    445.60x = 282,733.48
  5. Step 5: Solve for x
    x = 282,733.48/445.60
  6. Step 6: Final answer
    x = 634.50

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1.5x scale

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.