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Finding the Fourth Proportional to 992.65, 1,369.89 and 643.34

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Solution

The fourth proportional to 992.65, 1,369.89 and 643.34 is: 887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.65 : 1,369.89 = 643.34 : x
  2. Step 2: Convert to fraction form
    992.65/1,369.89 = 643.34/x
  3. Step 3: Cross multiply
    992.65x = 1,369.89 × 643.34
  4. Step 4: Simplify right side
    992.65x = 881,305.03
  5. Step 5: Solve for x
    x = 881,305.03/992.65
  6. Step 6: Final answer
    x = 887.83

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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.