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Finding the Fourth Proportional to 650.45, 976.23 and 430.46

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Solution

The fourth proportional to 650.45, 976.23 and 430.46 is: 646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.45 : 976.23 = 430.46 : x
  2. Step 2: Convert to fraction form
    650.45/976.23 = 430.46/x
  3. Step 3: Cross multiply
    650.45x = 976.23 × 430.46
  4. Step 4: Simplify right side
    650.45x = 420,223.08
  5. Step 5: Solve for x
    x = 420,223.08/650.45
  6. Step 6: Final answer
    x = 646.05

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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.