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Finding the Fourth Proportional to 477.06, 662.20 and 465.54

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Solution

The fourth proportional to 477.06, 662.20 and 465.54 is: 646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 662.20 = 465.54 : x
  2. Step 2: Convert to fraction form
    477.06/662.20 = 465.54/x
  3. Step 3: Cross multiply
    477.06x = 662.20 × 465.54
  4. Step 4: Simplify right side
    477.06x = 308,280.59
  5. Step 5: Solve for x
    x = 308,280.59/477.06
  6. Step 6: Final answer
    x = 646.21

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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.