Home / 1,283.65-1,914.79-1,160.53

Finding the Fourth Proportional to 1,283.65, 1,914.79 and 1,160.53

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Solution

The fourth proportional to 1,283.65, 1,914.79 and 1,160.53 is: 1,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.65 : 1,914.79 = 1,160.53 : x
  2. Step 2: Convert to fraction form
    1,283.65/1,914.79 = 1,160.53/x
  3. Step 3: Cross multiply
    1,283.65x = 1,914.79 × 1,160.53
  4. Step 4: Simplify right side
    1,283.65x = 2,222,165.73
  5. Step 5: Solve for x
    x = 2,222,165.73/1,283.65
  6. Step 6: Final answer
    x = 1,731.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.