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Finding the Fourth Proportional to 992.02, 1,369.12 and 598.96

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Solution

The fourth proportional to 992.02, 1,369.12 and 598.96 is: 826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.02 : 1,369.12 = 598.96 : x
  2. Step 2: Convert to fraction form
    992.02/1,369.12 = 598.96/x
  3. Step 3: Cross multiply
    992.02x = 1,369.12 × 598.96
  4. Step 4: Simplify right side
    992.02x = 820,048.12
  5. Step 5: Solve for x
    x = 820,048.12/992.02
  6. Step 6: Final answer
    x = 826.64

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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.