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Finding the Fourth Proportional to 1,205.57, 1,655.67 and 1,008.74

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Solution

The fourth proportional to 1,205.57, 1,655.67 and 1,008.74 is: 1,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.57 : 1,655.67 = 1,008.74 : x
  2. Step 2: Convert to fraction form
    1,205.57/1,655.67 = 1,008.74/x
  3. Step 3: Cross multiply
    1,205.57x = 1,655.67 × 1,008.74
  4. Step 4: Simplify right side
    1,205.57x = 1,670,132.28
  5. Step 5: Solve for x
    x = 1,670,132.28/1,205.57
  6. Step 6: Final answer
    x = 1,385.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.