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Finding the Fourth Proportional to 477.01, 662.81 and 471.95

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Solution

The fourth proportional to 477.01, 662.81 and 471.95 is: 655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.01 : 662.81 = 471.95 : x
  2. Step 2: Convert to fraction form
    477.01/662.81 = 471.95/x
  3. Step 3: Cross multiply
    477.01x = 662.81 × 471.95
  4. Step 4: Simplify right side
    477.01x = 312,813.18
  5. Step 5: Solve for x
    x = 312,813.18/477.01
  6. Step 6: Final answer
    x = 655.78

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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.