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Finding the Fourth Proportional to 448.83, 669.69 and 417.42

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Solution

The fourth proportional to 448.83, 669.69 and 417.42 is: 622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.83 : 669.69 = 417.42 : x
  2. Step 2: Convert to fraction form
    448.83/669.69 = 417.42/x
  3. Step 3: Cross multiply
    448.83x = 669.69 × 417.42
  4. Step 4: Simplify right side
    448.83x = 279,542.00
  5. Step 5: Solve for x
    x = 279,542.00/448.83
  6. Step 6: Final answer
    x = 622.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.