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Finding the Fourth Proportional to 1,225.44, 1,838.16 and 495.63

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Solution

The fourth proportional to 1,225.44, 1,838.16 and 495.63 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.44 : 1,838.16 = 495.63 : x
  2. Step 2: Convert to fraction form
    1,225.44/1,838.16 = 495.63/x
  3. Step 3: Cross multiply
    1,225.44x = 1,838.16 × 495.63
  4. Step 4: Simplify right side
    1,225.44x = 911,047.24
  5. Step 5: Solve for x
    x = 911,047.24/1,225.44
  6. Step 6: Final answer
    x = 743.45

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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.