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Finding the Fourth Proportional to 448.59, 669.43 and 383.55

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Solution

The fourth proportional to 448.59, 669.43 and 383.55 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 669.43 = 383.55 : x
  2. Step 2: Convert to fraction form
    448.59/669.43 = 383.55/x
  3. Step 3: Cross multiply
    448.59x = 669.43 × 383.55
  4. Step 4: Simplify right side
    448.59x = 256,758.92
  5. Step 5: Solve for x
    x = 256,758.92/448.59
  6. Step 6: Final answer
    x = 572.37

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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.