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Finding the Fourth Proportional to 1,080.72, 1,620.68 and 340.25

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Solution

The fourth proportional to 1,080.72, 1,620.68 and 340.25 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.72 : 1,620.68 = 340.25 : x
  2. Step 2: Convert to fraction form
    1,080.72/1,620.68 = 340.25/x
  3. Step 3: Cross multiply
    1,080.72x = 1,620.68 × 340.25
  4. Step 4: Simplify right side
    1,080.72x = 551,426.57
  5. Step 5: Solve for x
    x = 551,426.57/1,080.72
  6. Step 6: Final answer
    x = 510.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.