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Finding the Fourth Proportional to 477.98, 659.72 and 311.92

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Solution

The fourth proportional to 477.98, 659.72 and 311.92 is: 430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 659.72 = 311.92 : x
  2. Step 2: Convert to fraction form
    477.98/659.72 = 311.92/x
  3. Step 3: Cross multiply
    477.98x = 659.72 × 311.92
  4. Step 4: Simplify right side
    477.98x = 205,779.86
  5. Step 5: Solve for x
    x = 205,779.86/477.98
  6. Step 6: Final answer
    x = 430.52

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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.