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Finding the Fourth Proportional to 992.32, 1,486.20 and 701.20

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Solution

The fourth proportional to 992.32, 1,486.20 and 701.20 is: 1,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.32 : 1,486.20 = 701.20 : x
  2. Step 2: Convert to fraction form
    992.32/1,486.20 = 701.20/x
  3. Step 3: Cross multiply
    992.32x = 1,486.20 × 701.20
  4. Step 4: Simplify right side
    992.32x = 1,042,123.44
  5. Step 5: Solve for x
    x = 1,042,123.44/992.32
  6. Step 6: Final answer
    x = 1,050.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.