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Finding the Fourth Proportional to 992.93, 1,370.04 and 599.88

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Solution

The fourth proportional to 992.93, 1,370.04 and 599.88 is: 827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,370.04 = 599.88 : x
  2. Step 2: Convert to fraction form
    992.93/1,370.04 = 599.88/x
  3. Step 3: Cross multiply
    992.93x = 1,370.04 × 599.88
  4. Step 4: Simplify right side
    992.93x = 821,859.60
  5. Step 5: Solve for x
    x = 821,859.60/992.93
  6. Step 6: Final answer
    x = 827.71

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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.