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Finding the Fourth Proportional to 992.36, 1,369.22 and 642.98

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Solution

The fourth proportional to 992.36, 1,369.22 and 642.98 is: 887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.36 : 1,369.22 = 642.98 : x
  2. Step 2: Convert to fraction form
    992.36/1,369.22 = 642.98/x
  3. Step 3: Cross multiply
    992.36x = 1,369.22 × 642.98
  4. Step 4: Simplify right side
    992.36x = 880,381.08
  5. Step 5: Solve for x
    x = 880,381.08/992.36
  6. Step 6: Final answer
    x = 887.16

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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.