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Finding the Fourth Proportional to 477.68, 662.74 and 473.36

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Solution

The fourth proportional to 477.68, 662.74 and 473.36 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 662.74 = 473.36 : x
  2. Step 2: Convert to fraction form
    477.68/662.74 = 473.36/x
  3. Step 3: Cross multiply
    477.68x = 662.74 × 473.36
  4. Step 4: Simplify right side
    477.68x = 313,714.61
  5. Step 5: Solve for x
    x = 313,714.61/477.68
  6. Step 6: Final answer
    x = 656.75

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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.