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Finding the Fourth Proportional to 448.66, 620.22 and 411.76

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Solution

The fourth proportional to 448.66, 620.22 and 411.76 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.66 : 620.22 = 411.76 : x
  2. Step 2: Convert to fraction form
    448.66/620.22 = 411.76/x
  3. Step 3: Cross multiply
    448.66x = 620.22 × 411.76
  4. Step 4: Simplify right side
    448.66x = 255,381.79
  5. Step 5: Solve for x
    x = 255,381.79/448.66
  6. Step 6: Final answer
    x = 569.21

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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.