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Finding the Fourth Proportional to 650.68, 897.81 and 441.02

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Solution

The fourth proportional to 650.68, 897.81 and 441.02 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.68 : 897.81 = 441.02 : x
  2. Step 2: Convert to fraction form
    650.68/897.81 = 441.02/x
  3. Step 3: Cross multiply
    650.68x = 897.81 × 441.02
  4. Step 4: Simplify right side
    650.68x = 395,952.17
  5. Step 5: Solve for x
    x = 395,952.17/650.68
  6. Step 6: Final answer
    x = 608.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.