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Finding the Fourth Proportional to 1,223.23, 1,834.66 and 401.53

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Solution

The fourth proportional to 1,223.23, 1,834.66 and 401.53 is: 602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.23 : 1,834.66 = 401.53 : x
  2. Step 2: Convert to fraction form
    1,223.23/1,834.66 = 401.53/x
  3. Step 3: Cross multiply
    1,223.23x = 1,834.66 × 401.53
  4. Step 4: Simplify right side
    1,223.23x = 736,671.03
  5. Step 5: Solve for x
    x = 736,671.03/1,223.23
  6. Step 6: Final answer
    x = 602.23

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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.