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Finding the Fourth Proportional to 977.70, 1,348.92 and 604.29

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Solution

The fourth proportional to 977.70, 1,348.92 and 604.29 is: 833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 1,348.92 = 604.29 : x
  2. Step 2: Convert to fraction form
    977.70/1,348.92 = 604.29/x
  3. Step 3: Cross multiply
    977.70x = 1,348.92 × 604.29
  4. Step 4: Simplify right side
    977.70x = 815,138.87
  5. Step 5: Solve for x
    x = 815,138.87/977.70
  6. Step 6: Final answer
    x = 833.73

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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.