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Finding the Fourth Proportional to 906.47, 1,359.70 and 495.49

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Solution

The fourth proportional to 906.47, 1,359.70 and 495.49 is: 743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.47 : 1,359.70 = 495.49 : x
  2. Step 2: Convert to fraction form
    906.47/1,359.70 = 495.49/x
  3. Step 3: Cross multiply
    906.47x = 1,359.70 × 495.49
  4. Step 4: Simplify right side
    906.47x = 673,717.75
  5. Step 5: Solve for x
    x = 673,717.75/906.47
  6. Step 6: Final answer
    x = 743.23

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1.5x scale

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.