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Finding the Fourth Proportional to 448.52, 669.29 and 402.55

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Solution

The fourth proportional to 448.52, 669.29 and 402.55 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 669.29 = 402.55 : x
  2. Step 2: Convert to fraction form
    448.52/669.29 = 402.55/x
  3. Step 3: Cross multiply
    448.52x = 669.29 × 402.55
  4. Step 4: Simplify right side
    448.52x = 269,419.00
  5. Step 5: Solve for x
    x = 269,419.00/448.52
  6. Step 6: Final answer
    x = 600.69

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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.