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Finding the Fourth Proportional to 994.02, 1,370.32 and 783.28

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Solution

The fourth proportional to 994.02, 1,370.32 and 783.28 is: 1,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.02 : 1,370.32 = 783.28 : x
  2. Step 2: Convert to fraction form
    994.02/1,370.32 = 783.28/x
  3. Step 3: Cross multiply
    994.02x = 1,370.32 × 783.28
  4. Step 4: Simplify right side
    994.02x = 1,073,344.25
  5. Step 5: Solve for x
    x = 1,073,344.25/994.02
  6. Step 6: Final answer
    x = 1,079.80

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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.