Home / 1,223.51-1,834.95-401.76

Finding the Fourth Proportional to 1,223.51, 1,834.95 and 401.76

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Solution

The fourth proportional to 1,223.51, 1,834.95 and 401.76 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.51 : 1,834.95 = 401.76 : x
  2. Step 2: Convert to fraction form
    1,223.51/1,834.95 = 401.76/x
  3. Step 3: Cross multiply
    1,223.51x = 1,834.95 × 401.76
  4. Step 4: Simplify right side
    1,223.51x = 737,211.02
  5. Step 5: Solve for x
    x = 737,211.02/1,223.51
  6. Step 6: Final answer
    x = 602.54

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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.