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Finding the Fourth Proportional to 1,080.20, 1,490.63 and 608.12

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Solution

The fourth proportional to 1,080.20, 1,490.63 and 608.12 is: 839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.20 : 1,490.63 = 608.12 : x
  2. Step 2: Convert to fraction form
    1,080.20/1,490.63 = 608.12/x
  3. Step 3: Cross multiply
    1,080.20x = 1,490.63 × 608.12
  4. Step 4: Simplify right side
    1,080.20x = 906,482.60
  5. Step 5: Solve for x
    x = 906,482.60/1,080.20
  6. Step 6: Final answer
    x = 839.18

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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.