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Finding the Fourth Proportional to 477.60, 654.78 and 474

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Solution

The fourth proportional to 477.60, 654.78 and 474 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 654.78 = 474 : x
  2. Step 2: Convert to fraction form
    477.60/654.78 = 474/x
  3. Step 3: Cross multiply
    477.60x = 654.78 × 474
  4. Step 4: Simplify right side
    477.60x = 310,365.72
  5. Step 5: Solve for x
    x = 310,365.72/477.60
  6. Step 6: Final answer
    x = 649.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.