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Finding the Fourth Proportional to 650.45, 974.66 and 260.03

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Solution

The fourth proportional to 650.45, 974.66 and 260.03 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.45 : 974.66 = 260.03 : x
  2. Step 2: Convert to fraction form
    650.45/974.66 = 260.03/x
  3. Step 3: Cross multiply
    650.45x = 974.66 × 260.03
  4. Step 4: Simplify right side
    650.45x = 253,434.67
  5. Step 5: Solve for x
    x = 253,434.67/650.45
  6. Step 6: Final answer
    x = 389.63

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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.