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Finding the Fourth Proportional to 1,206.74, 1,808.69 and 1,070.05

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Solution

The fourth proportional to 1,206.74, 1,808.69 and 1,070.05 is: 1,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.74 : 1,808.69 = 1,070.05 : x
  2. Step 2: Convert to fraction form
    1,206.74/1,808.69 = 1,070.05/x
  3. Step 3: Cross multiply
    1,206.74x = 1,808.69 × 1,070.05
  4. Step 4: Simplify right side
    1,206.74x = 1,935,388.73
  5. Step 5: Solve for x
    x = 1,935,388.73/1,206.74
  6. Step 6: Final answer
    x = 1,603.82

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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.