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Finding the Fourth Proportional to 992.46, 1,370.24 and 638.54

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Solution

The fourth proportional to 992.46, 1,370.24 and 638.54 is: 881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,370.24 = 638.54 : x
  2. Step 2: Convert to fraction form
    992.46/1,370.24 = 638.54/x
  3. Step 3: Cross multiply
    992.46x = 1,370.24 × 638.54
  4. Step 4: Simplify right side
    992.46x = 874,953.05
  5. Step 5: Solve for x
    x = 874,953.05/992.46
  6. Step 6: Final answer
    x = 881.60

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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.