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Finding the Fourth Proportional to 992.42, 1,370.16 and 638.50

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Solution

The fourth proportional to 992.42, 1,370.16 and 638.50 is: 881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.42 : 1,370.16 = 638.50 : x
  2. Step 2: Convert to fraction form
    992.42/1,370.16 = 638.50/x
  3. Step 3: Cross multiply
    992.42x = 1,370.16 × 638.50
  4. Step 4: Simplify right side
    992.42x = 874,847.16
  5. Step 5: Solve for x
    x = 874,847.16/992.42
  6. Step 6: Final answer
    x = 881.53

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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.