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Finding the Fourth Proportional to 604.05, 833.27 and 417.21

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Solution

The fourth proportional to 604.05, 833.27 and 417.21 is: 575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.05 : 833.27 = 417.21 : x
  2. Step 2: Convert to fraction form
    604.05/833.27 = 417.21/x
  3. Step 3: Cross multiply
    604.05x = 833.27 × 417.21
  4. Step 4: Simplify right side
    604.05x = 347,646.49
  5. Step 5: Solve for x
    x = 347,646.49/604.05
  6. Step 6: Final answer
    x = 575.53

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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.