Home / 1,452.34-2,178.59-412.26

Finding the Fourth Proportional to 1,452.34, 2,178.59 and 412.26

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Solution

The fourth proportional to 1,452.34, 2,178.59 and 412.26 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.34 : 2,178.59 = 412.26 : x
  2. Step 2: Convert to fraction form
    1,452.34/2,178.59 = 412.26/x
  3. Step 3: Cross multiply
    1,452.34x = 2,178.59 × 412.26
  4. Step 4: Simplify right side
    1,452.34x = 898,136.83
  5. Step 5: Solve for x
    x = 898,136.83/1,452.34
  6. Step 6: Final answer
    x = 618.41

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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.