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Finding the Fourth Proportional to 669.01, 922.53 and 448.01

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Solution

The fourth proportional to 669.01, 922.53 and 448.01 is: 617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.01 : 922.53 = 448.01 : x
  2. Step 2: Convert to fraction form
    669.01/922.53 = 448.01/x
  3. Step 3: Cross multiply
    669.01x = 922.53 × 448.01
  4. Step 4: Simplify right side
    669.01x = 413,302.67
  5. Step 5: Solve for x
    x = 413,302.67/669.01
  6. Step 6: Final answer
    x = 617.78

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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.