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Finding the Fourth Proportional to 1,205.55, 1,690.20 and 1,205.55

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Solution

The fourth proportional to 1,205.55, 1,690.20 and 1,205.55 is: 1,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.55 : 1,690.20 = 1,205.55 : x
  2. Step 2: Convert to fraction form
    1,205.55/1,690.20 = 1,205.55/x
  3. Step 3: Cross multiply
    1,205.55x = 1,690.20 × 1,205.55
  4. Step 4: Simplify right side
    1,205.55x = 2,037,620.61
  5. Step 5: Solve for x
    x = 2,037,620.61/1,205.55
  6. Step 6: Final answer
    x = 1,690.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.