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Finding the Fourth Proportional to 992.64, 1,369.33 and 638.47

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Solution

The fourth proportional to 992.64, 1,369.33 and 638.47 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.64 : 1,369.33 = 638.47 : x
  2. Step 2: Convert to fraction form
    992.64/1,369.33 = 638.47/x
  3. Step 3: Cross multiply
    992.64x = 1,369.33 × 638.47
  4. Step 4: Simplify right side
    992.64x = 874,276.13
  5. Step 5: Solve for x
    x = 874,276.13/992.64
  6. Step 6: Final answer
    x = 880.76

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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.