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Finding the Fourth Proportional to 1,355.06, 1,869.99 and 765.65

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Solution

The fourth proportional to 1,355.06, 1,869.99 and 765.65 is: 1,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.06 : 1,869.99 = 765.65 : x
  2. Step 2: Convert to fraction form
    1,355.06/1,869.99 = 765.65/x
  3. Step 3: Cross multiply
    1,355.06x = 1,869.99 × 765.65
  4. Step 4: Simplify right side
    1,355.06x = 1,431,759.65
  5. Step 5: Solve for x
    x = 1,431,759.65/1,355.06
  6. Step 6: Final answer
    x = 1,056.60

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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.