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Finding the Fourth Proportional to 444.87, 669.71 and 400.22

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Solution

The fourth proportional to 444.87, 669.71 and 400.22 is: 602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.87 : 669.71 = 400.22 : x
  2. Step 2: Convert to fraction form
    444.87/669.71 = 400.22/x
  3. Step 3: Cross multiply
    444.87x = 669.71 × 400.22
  4. Step 4: Simplify right side
    444.87x = 268,031.50
  5. Step 5: Solve for x
    x = 268,031.50/444.87
  6. Step 6: Final answer
    x = 602.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.