Home / 1,223.07-1,833.79-401.06

Finding the Fourth Proportional to 1,223.07, 1,833.79 and 401.06

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Solution

The fourth proportional to 1,223.07, 1,833.79 and 401.06 is: 601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.07 : 1,833.79 = 401.06 : x
  2. Step 2: Convert to fraction form
    1,223.07/1,833.79 = 401.06/x
  3. Step 3: Cross multiply
    1,223.07x = 1,833.79 × 401.06
  4. Step 4: Simplify right side
    1,223.07x = 735,459.82
  5. Step 5: Solve for x
    x = 735,459.82/1,223.07
  6. Step 6: Final answer
    x = 601.32

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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.