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Finding the Fourth Proportional to 650.35, 969.81 and 599.86

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Solution

The fourth proportional to 650.35, 969.81 and 599.86 is: 894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 969.81 = 599.86 : x
  2. Step 2: Convert to fraction form
    650.35/969.81 = 599.86/x
  3. Step 3: Cross multiply
    650.35x = 969.81 × 599.86
  4. Step 4: Simplify right side
    650.35x = 581,750.23
  5. Step 5: Solve for x
    x = 581,750.23/650.35
  6. Step 6: Final answer
    x = 894.52

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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.