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Finding the Fourth Proportional to 476.98, 657.88 and 319.54

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Solution

The fourth proportional to 476.98, 657.88 and 319.54 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.98 : 657.88 = 319.54 : x
  2. Step 2: Convert to fraction form
    476.98/657.88 = 319.54/x
  3. Step 3: Cross multiply
    476.98x = 657.88 × 319.54
  4. Step 4: Simplify right side
    476.98x = 210,218.98
  5. Step 5: Solve for x
    x = 210,218.98/476.98
  6. Step 6: Final answer
    x = 440.73

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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.