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Finding the Fourth Proportional to 977.97, 1,350 and 604.83

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Solution

The fourth proportional to 977.97, 1,350 and 604.83 is: 834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.97 : 1,350 = 604.83 : x
  2. Step 2: Convert to fraction form
    977.97/1,350 = 604.83/x
  3. Step 3: Cross multiply
    977.97x = 1,350 × 604.83
  4. Step 4: Simplify right side
    977.97x = 816,520.50
  5. Step 5: Solve for x
    x = 816,520.50/977.97
  6. Step 6: Final answer
    x = 834.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.