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Finding the Fourth Proportional to 477.98, 659.35 and 399.68

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Solution

The fourth proportional to 477.98, 659.35 and 399.68 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 659.35 = 399.68 : x
  2. Step 2: Convert to fraction form
    477.98/659.35 = 399.68/x
  3. Step 3: Cross multiply
    477.98x = 659.35 × 399.68
  4. Step 4: Simplify right side
    477.98x = 263,529.01
  5. Step 5: Solve for x
    x = 263,529.01/477.98
  6. Step 6: Final answer
    x = 551.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.