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Finding the Fourth Proportional to 1,080.02, 1,489.83 and 730.10

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Solution

The fourth proportional to 1,080.02, 1,489.83 and 730.10 is: 1,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.02 : 1,489.83 = 730.10 : x
  2. Step 2: Convert to fraction form
    1,080.02/1,489.83 = 730.10/x
  3. Step 3: Cross multiply
    1,080.02x = 1,489.83 × 730.10
  4. Step 4: Simplify right side
    1,080.02x = 1,087,725.87
  5. Step 5: Solve for x
    x = 1,087,725.87/1,080.02
  6. Step 6: Final answer
    x = 1,007.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.