Home / 1,223.13-1,835.10-401.43

Finding the Fourth Proportional to 1,223.13, 1,835.10 and 401.43

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Solution

The fourth proportional to 1,223.13, 1,835.10 and 401.43 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.13 : 1,835.10 = 401.43 : x
  2. Step 2: Convert to fraction form
    1,223.13/1,835.10 = 401.43/x
  3. Step 3: Cross multiply
    1,223.13x = 1,835.10 × 401.43
  4. Step 4: Simplify right side
    1,223.13x = 736,664.19
  5. Step 5: Solve for x
    x = 736,664.19/1,223.13
  6. Step 6: Final answer
    x = 602.28

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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.