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Finding the Fourth Proportional to 669.38, 922.64 and 448.26

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Solution

The fourth proportional to 669.38, 922.64 and 448.26 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.38 : 922.64 = 448.26 : x
  2. Step 2: Convert to fraction form
    669.38/922.64 = 448.26/x
  3. Step 3: Cross multiply
    669.38x = 922.64 × 448.26
  4. Step 4: Simplify right side
    669.38x = 413,582.61
  5. Step 5: Solve for x
    x = 413,582.61/669.38
  6. Step 6: Final answer
    x = 617.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.