Home / 1,148.14-1,722.20-282.45

Finding the Fourth Proportional to 1,148.14, 1,722.20 and 282.45

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Solution

The fourth proportional to 1,148.14, 1,722.20 and 282.45 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.14 : 1,722.20 = 282.45 : x
  2. Step 2: Convert to fraction form
    1,148.14/1,722.20 = 282.45/x
  3. Step 3: Cross multiply
    1,148.14x = 1,722.20 × 282.45
  4. Step 4: Simplify right side
    1,148.14x = 486,440.44
  5. Step 5: Solve for x
    x = 486,440.44/1,148.14
  6. Step 6: Final answer
    x = 423.68

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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.