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Finding the Fourth Proportional to 977.92, 1,466.39 and 328.19

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Solution

The fourth proportional to 977.92, 1,466.39 and 328.19 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,466.39 = 328.19 : x
  2. Step 2: Convert to fraction form
    977.92/1,466.39 = 328.19/x
  3. Step 3: Cross multiply
    977.92x = 1,466.39 × 328.19
  4. Step 4: Simplify right side
    977.92x = 481,248.02
  5. Step 5: Solve for x
    x = 481,248.02/977.92
  6. Step 6: Final answer
    x = 492.12

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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.