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Finding the Fourth Proportional to 1,079.44, 1,490.71 and 846.16

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Solution

The fourth proportional to 1,079.44, 1,490.71 and 846.16 is: 1,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.44 : 1,490.71 = 846.16 : x
  2. Step 2: Convert to fraction form
    1,079.44/1,490.71 = 846.16/x
  3. Step 3: Cross multiply
    1,079.44x = 1,490.71 × 846.16
  4. Step 4: Simplify right side
    1,079.44x = 1,261,369.60
  5. Step 5: Solve for x
    x = 1,261,369.60/1,079.44
  6. Step 6: Final answer
    x = 1,168.55

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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.