Home / 1,148.19-1,722.30-282.51

Finding the Fourth Proportional to 1,148.19, 1,722.30 and 282.51

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Solution

The fourth proportional to 1,148.19, 1,722.30 and 282.51 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.19 : 1,722.30 = 282.51 : x
  2. Step 2: Convert to fraction form
    1,148.19/1,722.30 = 282.51/x
  3. Step 3: Cross multiply
    1,148.19x = 1,722.30 × 282.51
  4. Step 4: Simplify right side
    1,148.19x = 486,566.97
  5. Step 5: Solve for x
    x = 486,566.97/1,148.19
  6. Step 6: Final answer
    x = 423.77

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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.