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Finding the Fourth Proportional to 981.37, 1,354.48 and 583.12

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Solution

The fourth proportional to 981.37, 1,354.48 and 583.12 is: 804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.37 : 1,354.48 = 583.12 : x
  2. Step 2: Convert to fraction form
    981.37/1,354.48 = 583.12/x
  3. Step 3: Cross multiply
    981.37x = 1,354.48 × 583.12
  4. Step 4: Simplify right side
    981.37x = 789,824.38
  5. Step 5: Solve for x
    x = 789,824.38/981.37
  6. Step 6: Final answer
    x = 804.82

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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.