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Finding the Fourth Proportional to 1,211.20, 1,700 and 1,211.20

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Solution

The fourth proportional to 1,211.20, 1,700 and 1,211.20 is: 1,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.20 : 1,700 = 1,211.20 : x
  2. Step 2: Convert to fraction form
    1,211.20/1,700 = 1,211.20/x
  3. Step 3: Cross multiply
    1,211.20x = 1,700 × 1,211.20
  4. Step 4: Simplify right side
    1,211.20x = 2,059,040
  5. Step 5: Solve for x
    x = 2,059,040/1,211.20
  6. Step 6: Final answer
    x = 1,700

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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.