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Finding the Fourth Proportional to 650.41, 971.19 and 511.90

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Solution

The fourth proportional to 650.41, 971.19 and 511.90 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 971.19 = 511.90 : x
  2. Step 2: Convert to fraction form
    650.41/971.19 = 511.90/x
  3. Step 3: Cross multiply
    650.41x = 971.19 × 511.90
  4. Step 4: Simplify right side
    650.41x = 497,152.16
  5. Step 5: Solve for x
    x = 497,152.16/650.41
  6. Step 6: Final answer
    x = 764.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.