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Finding the Fourth Proportional to 649.07, 971.70 and 495.57

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Solution

The fourth proportional to 649.07, 971.70 and 495.57 is: 741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 971.70 = 495.57 : x
  2. Step 2: Convert to fraction form
    649.07/971.70 = 495.57/x
  3. Step 3: Cross multiply
    649.07x = 971.70 × 495.57
  4. Step 4: Simplify right side
    649.07x = 481,545.37
  5. Step 5: Solve for x
    x = 481,545.37/649.07
  6. Step 6: Final answer
    x = 741.91

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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.