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Finding the Fourth Proportional to 650.03, 973.10 and 418.23

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Solution

The fourth proportional to 650.03, 973.10 and 418.23 is: 626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.03 : 973.10 = 418.23 : x
  2. Step 2: Convert to fraction form
    650.03/973.10 = 418.23/x
  3. Step 3: Cross multiply
    650.03x = 973.10 × 418.23
  4. Step 4: Simplify right side
    650.03x = 406,975.97
  5. Step 5: Solve for x
    x = 406,975.97/650.03
  6. Step 6: Final answer
    x = 626.09

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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.