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Finding the Fourth Proportional to 650.86, 981.13 and 608.54

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Solution

The fourth proportional to 650.86, 981.13 and 608.54 is: 917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.86 : 981.13 = 608.54 : x
  2. Step 2: Convert to fraction form
    650.86/981.13 = 608.54/x
  3. Step 3: Cross multiply
    650.86x = 981.13 × 608.54
  4. Step 4: Simplify right side
    650.86x = 597,050.42
  5. Step 5: Solve for x
    x = 597,050.42/650.86
  6. Step 6: Final answer
    x = 917.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.