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Finding the Fourth Proportional to 651.90, 977.88 and 327.90

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Solution

The fourth proportional to 651.90, 977.88 and 327.90 is: 491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 977.88 = 327.90 : x
  2. Step 2: Convert to fraction form
    651.90/977.88 = 327.90/x
  3. Step 3: Cross multiply
    651.90x = 977.88 × 327.90
  4. Step 4: Simplify right side
    651.90x = 320,646.85
  5. Step 5: Solve for x
    x = 320,646.85/651.90
  6. Step 6: Final answer
    x = 491.87

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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.