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Finding the Fourth Proportional to 1,655.22, 2,482.80 and 1,396.88

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Solution

The fourth proportional to 1,655.22, 2,482.80 and 1,396.88 is: 2,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.22 : 2,482.80 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    1,655.22/2,482.80 = 1,396.88/x
  3. Step 3: Cross multiply
    1,655.22x = 2,482.80 × 1,396.88
  4. Step 4: Simplify right side
    1,655.22x = 3,468,173.66
  5. Step 5: Solve for x
    x = 3,468,173.66/1,655.22
  6. Step 6: Final answer
    x = 2,095.29

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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.