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Finding the Fourth Proportional to 477.90, 659.61 and 311.83

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Solution

The fourth proportional to 477.90, 659.61 and 311.83 is: 430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 659.61 = 311.83 : x
  2. Step 2: Convert to fraction form
    477.90/659.61 = 311.83/x
  3. Step 3: Cross multiply
    477.90x = 659.61 × 311.83
  4. Step 4: Simplify right side
    477.90x = 205,682.89
  5. Step 5: Solve for x
    x = 205,682.89/477.90
  6. Step 6: Final answer
    x = 430.39

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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.