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Finding the Fourth Proportional to 805.63, 1,209.83 and 495.10

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Solution

The fourth proportional to 805.63, 1,209.83 and 495.10 is: 743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.63 : 1,209.83 = 495.10 : x
  2. Step 2: Convert to fraction form
    805.63/1,209.83 = 495.10/x
  3. Step 3: Cross multiply
    805.63x = 1,209.83 × 495.10
  4. Step 4: Simplify right side
    805.63x = 598,984.36
  5. Step 5: Solve for x
    x = 598,984.36/805.63
  6. Step 6: Final answer
    x = 743.50

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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.