Home / 1,148.14-1,585.23-849.46

Finding the Fourth Proportional to 1,148.14, 1,585.23 and 849.46

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Solution

The fourth proportional to 1,148.14, 1,585.23 and 849.46 is: 1,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.14 : 1,585.23 = 849.46 : x
  2. Step 2: Convert to fraction form
    1,148.14/1,585.23 = 849.46/x
  3. Step 3: Cross multiply
    1,148.14x = 1,585.23 × 849.46
  4. Step 4: Simplify right side
    1,148.14x = 1,346,589.48
  5. Step 5: Solve for x
    x = 1,346,589.48/1,148.14
  6. Step 6: Final answer
    x = 1,172.84

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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.