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Finding the Fourth Proportional to 1,235.91, 1,853.80 and 495.75

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Solution

The fourth proportional to 1,235.91, 1,853.80 and 495.75 is: 743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.91 : 1,853.80 = 495.75 : x
  2. Step 2: Convert to fraction form
    1,235.91/1,853.80 = 495.75/x
  3. Step 3: Cross multiply
    1,235.91x = 1,853.80 × 495.75
  4. Step 4: Simplify right side
    1,235.91x = 919,021.35
  5. Step 5: Solve for x
    x = 919,021.35/1,235.91
  6. Step 6: Final answer
    x = 743.60

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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.