Home / 1,223.45-1,834.77-401.52

Finding the Fourth Proportional to 1,223.45, 1,834.77 and 401.52

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Solution

The fourth proportional to 1,223.45, 1,834.77 and 401.52 is: 602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.45 : 1,834.77 = 401.52 : x
  2. Step 2: Convert to fraction form
    1,223.45/1,834.77 = 401.52/x
  3. Step 3: Cross multiply
    1,223.45x = 1,834.77 × 401.52
  4. Step 4: Simplify right side
    1,223.45x = 736,695.34
  5. Step 5: Solve for x
    x = 736,695.34/1,223.45
  6. Step 6: Final answer
    x = 602.15

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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.