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Finding the Fourth Proportional to 977.40, 1,467 and 490.78

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Solution

The fourth proportional to 977.40, 1,467 and 490.78 is: 736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.40 : 1,467 = 490.78 : x
  2. Step 2: Convert to fraction form
    977.40/1,467 = 490.78/x
  3. Step 3: Cross multiply
    977.40x = 1,467 × 490.78
  4. Step 4: Simplify right side
    977.40x = 719,974.26
  5. Step 5: Solve for x
    x = 719,974.26/977.40
  6. Step 6: Final answer
    x = 736.62

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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.