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Finding the Fourth Proportional to 981.94, 1,473.08 and 599.54

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Solution

The fourth proportional to 981.94, 1,473.08 and 599.54 is: 899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.94 : 1,473.08 = 599.54 : x
  2. Step 2: Convert to fraction form
    981.94/1,473.08 = 599.54/x
  3. Step 3: Cross multiply
    981.94x = 1,473.08 × 599.54
  4. Step 4: Simplify right side
    981.94x = 883,170.38
  5. Step 5: Solve for x
    x = 883,170.38/981.94
  6. Step 6: Final answer
    x = 899.41

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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.