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Finding the Fourth Proportional to 992.77, 1,370.18 and 599.85

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Solution

The fourth proportional to 992.77, 1,370.18 and 599.85 is: 827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.77 : 1,370.18 = 599.85 : x
  2. Step 2: Convert to fraction form
    992.77/1,370.18 = 599.85/x
  3. Step 3: Cross multiply
    992.77x = 1,370.18 × 599.85
  4. Step 4: Simplify right side
    992.77x = 821,903.97
  5. Step 5: Solve for x
    x = 821,903.97/992.77
  6. Step 6: Final answer
    x = 827.89

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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.