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Finding the Fourth Proportional to 1,080.13, 1,490.50 and 608.03

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Solution

The fourth proportional to 1,080.13, 1,490.50 and 608.03 is: 839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.13 : 1,490.50 = 608.03 : x
  2. Step 2: Convert to fraction form
    1,080.13/1,490.50 = 608.03/x
  3. Step 3: Cross multiply
    1,080.13x = 1,490.50 × 608.03
  4. Step 4: Simplify right side
    1,080.13x = 906,268.72
  5. Step 5: Solve for x
    x = 906,268.72/1,080.13
  6. Step 6: Final answer
    x = 839.04

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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.