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Finding the Fourth Proportional to 992.88, 1,369.46 and 638.91

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Solution

The fourth proportional to 992.88, 1,369.46 and 638.91 is: 881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.88 : 1,369.46 = 638.91 : x
  2. Step 2: Convert to fraction form
    992.88/1,369.46 = 638.91/x
  3. Step 3: Cross multiply
    992.88x = 1,369.46 × 638.91
  4. Step 4: Simplify right side
    992.88x = 874,963.29
  5. Step 5: Solve for x
    x = 874,963.29/992.88
  6. Step 6: Final answer
    x = 881.24

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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.