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Finding the Fourth Proportional to 1,079.53, 1,490.35 and 1,019.39

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Solution

The fourth proportional to 1,079.53, 1,490.35 and 1,019.39 is: 1,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.53 : 1,490.35 = 1,019.39 : x
  2. Step 2: Convert to fraction form
    1,079.53/1,490.35 = 1,019.39/x
  3. Step 3: Cross multiply
    1,079.53x = 1,490.35 × 1,019.39
  4. Step 4: Simplify right side
    1,079.53x = 1,519,239.80
  5. Step 5: Solve for x
    x = 1,519,239.80/1,079.53
  6. Step 6: Final answer
    x = 1,407.32

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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.