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Finding the Fourth Proportional to 1,225.72, 1,838.58 and 404.23

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Solution

The fourth proportional to 1,225.72, 1,838.58 and 404.23 is: 606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.72 : 1,838.58 = 404.23 : x
  2. Step 2: Convert to fraction form
    1,225.72/1,838.58 = 404.23/x
  3. Step 3: Cross multiply
    1,225.72x = 1,838.58 × 404.23
  4. Step 4: Simplify right side
    1,225.72x = 743,209.19
  5. Step 5: Solve for x
    x = 743,209.19/1,225.72
  6. Step 6: Final answer
    x = 606.35

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Double scale
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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.