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Finding the Fourth Proportional to 651.88, 977.94 and 327.08

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Solution

The fourth proportional to 651.88, 977.94 and 327.08 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 977.94 = 327.08 : x
  2. Step 2: Convert to fraction form
    651.88/977.94 = 327.08/x
  3. Step 3: Cross multiply
    651.88x = 977.94 × 327.08
  4. Step 4: Simplify right side
    651.88x = 319,864.62
  5. Step 5: Solve for x
    x = 319,864.62/651.88
  6. Step 6: Final answer
    x = 490.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.