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Finding the Fourth Proportional to 1,217.14, 1,678.62 and 775.18

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Solution

The fourth proportional to 1,217.14, 1,678.62 and 775.18 is: 1,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.14 : 1,678.62 = 775.18 : x
  2. Step 2: Convert to fraction form
    1,217.14/1,678.62 = 775.18/x
  3. Step 3: Cross multiply
    1,217.14x = 1,678.62 × 775.18
  4. Step 4: Simplify right side
    1,217.14x = 1,301,232.65
  5. Step 5: Solve for x
    x = 1,301,232.65/1,217.14
  6. Step 6: Final answer
    x = 1,069.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.