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Finding the Fourth Proportional to 670.63, 1,005.09 and 495.91

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Solution

The fourth proportional to 670.63, 1,005.09 and 495.91 is: 743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.63 : 1,005.09 = 495.91 : x
  2. Step 2: Convert to fraction form
    670.63/1,005.09 = 495.91/x
  3. Step 3: Cross multiply
    670.63x = 1,005.09 × 495.91
  4. Step 4: Simplify right side
    670.63x = 498,434.18
  5. Step 5: Solve for x
    x = 498,434.18/670.63
  6. Step 6: Final answer
    x = 743.23

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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.