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Finding the Fourth Proportional to 1,079.19, 1,490.50 and 729.27

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Solution

The fourth proportional to 1,079.19, 1,490.50 and 729.27 is: 1,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.19 : 1,490.50 = 729.27 : x
  2. Step 2: Convert to fraction form
    1,079.19/1,490.50 = 729.27/x
  3. Step 3: Cross multiply
    1,079.19x = 1,490.50 × 729.27
  4. Step 4: Simplify right side
    1,079.19x = 1,086,973.29
  5. Step 5: Solve for x
    x = 1,086,973.29/1,079.19
  6. Step 6: Final answer
    x = 1,007.21

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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.