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Finding the Fourth Proportional to 1,079.43, 1,490.32 and 830.31

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Solution

The fourth proportional to 1,079.43, 1,490.32 and 830.31 is: 1,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.43 : 1,490.32 = 830.31 : x
  2. Step 2: Convert to fraction form
    1,079.43/1,490.32 = 830.31/x
  3. Step 3: Cross multiply
    1,079.43x = 1,490.32 × 830.31
  4. Step 4: Simplify right side
    1,079.43x = 1,237,427.60
  5. Step 5: Solve for x
    x = 1,237,427.60/1,079.43
  6. Step 6: Final answer
    x = 1,146.37

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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.