Home / 1,223.34-1,834.56-401.46

Finding the Fourth Proportional to 1,223.34, 1,834.56 and 401.46

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Solution

The fourth proportional to 1,223.34, 1,834.56 and 401.46 is: 602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,834.56 = 401.46 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,834.56 = 401.46/x
  3. Step 3: Cross multiply
    1,223.34x = 1,834.56 × 401.46
  4. Step 4: Simplify right side
    1,223.34x = 736,502.46
  5. Step 5: Solve for x
    x = 736,502.46/1,223.34
  6. Step 6: Final answer
    x = 602.04

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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.