Home / 1,223.50-1,835.34-401.74

Finding the Fourth Proportional to 1,223.50, 1,835.34 and 401.74

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Solution

The fourth proportional to 1,223.50, 1,835.34 and 401.74 is: 602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.50 : 1,835.34 = 401.74 : x
  2. Step 2: Convert to fraction form
    1,223.50/1,835.34 = 401.74/x
  3. Step 3: Cross multiply
    1,223.50x = 1,835.34 × 401.74
  4. Step 4: Simplify right side
    1,223.50x = 737,329.49
  5. Step 5: Solve for x
    x = 737,329.49/1,223.50
  6. Step 6: Final answer
    x = 602.64

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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.