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Finding the Fourth Proportional to 477.19, 661.76 and 462.20

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Solution

The fourth proportional to 477.19, 661.76 and 462.20 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 661.76 = 462.20 : x
  2. Step 2: Convert to fraction form
    477.19/661.76 = 462.20/x
  3. Step 3: Cross multiply
    477.19x = 661.76 × 462.20
  4. Step 4: Simplify right side
    477.19x = 305,863.16
  5. Step 5: Solve for x
    x = 305,863.16/477.19
  6. Step 6: Final answer
    x = 640.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.