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Finding the Fourth Proportional to 981.57, 1,354.55 and 608.37

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Solution

The fourth proportional to 981.57, 1,354.55 and 608.37 is: 839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.57 : 1,354.55 = 608.37 : x
  2. Step 2: Convert to fraction form
    981.57/1,354.55 = 608.37/x
  3. Step 3: Cross multiply
    981.57x = 1,354.55 × 608.37
  4. Step 4: Simplify right side
    981.57x = 824,067.58
  5. Step 5: Solve for x
    x = 824,067.58/981.57
  6. Step 6: Final answer
    x = 839.54

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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.