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Finding the Fourth Proportional to 976.66, 1,465.01 and 327.39

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Solution

The fourth proportional to 976.66, 1,465.01 and 327.39 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.66 : 1,465.01 = 327.39 : x
  2. Step 2: Convert to fraction form
    976.66/1,465.01 = 327.39/x
  3. Step 3: Cross multiply
    976.66x = 1,465.01 × 327.39
  4. Step 4: Simplify right side
    976.66x = 479,633.48
  5. Step 5: Solve for x
    x = 479,633.48/976.66
  6. Step 6: Final answer
    x = 491.10

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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.