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Finding the Fourth Proportional to 649.90, 973.23 and 614.26

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Solution

The fourth proportional to 649.90, 973.23 and 614.26 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 973.23 = 614.26 : x
  2. Step 2: Convert to fraction form
    649.90/973.23 = 614.26/x
  3. Step 3: Cross multiply
    649.90x = 973.23 × 614.26
  4. Step 4: Simplify right side
    649.90x = 597,816.26
  5. Step 5: Solve for x
    x = 597,816.26/649.90
  6. Step 6: Final answer
    x = 919.86

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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.