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Finding the Fourth Proportional to 992.28, 1,490.74 and 581.70

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Solution

The fourth proportional to 992.28, 1,490.74 and 581.70 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.28 : 1,490.74 = 581.70 : x
  2. Step 2: Convert to fraction form
    992.28/1,490.74 = 581.70/x
  3. Step 3: Cross multiply
    992.28x = 1,490.74 × 581.70
  4. Step 4: Simplify right side
    992.28x = 867,163.46
  5. Step 5: Solve for x
    x = 867,163.46/992.28
  6. Step 6: Final answer
    x = 873.91

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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.