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Finding the Fourth Proportional to 477.59, 659.06 and 311.49

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Solution

The fourth proportional to 477.59, 659.06 and 311.49 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.59 : 659.06 = 311.49 : x
  2. Step 2: Convert to fraction form
    477.59/659.06 = 311.49/x
  3. Step 3: Cross multiply
    477.59x = 659.06 × 311.49
  4. Step 4: Simplify right side
    477.59x = 205,290.60
  5. Step 5: Solve for x
    x = 205,290.60/477.59
  6. Step 6: Final answer
    x = 429.85

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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.