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Finding the Fourth Proportional to 604.03, 833.29 and 417.78

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Solution

The fourth proportional to 604.03, 833.29 and 417.78 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.03 : 833.29 = 417.78 : x
  2. Step 2: Convert to fraction form
    604.03/833.29 = 417.78/x
  3. Step 3: Cross multiply
    604.03x = 833.29 × 417.78
  4. Step 4: Simplify right side
    604.03x = 348,131.90
  5. Step 5: Solve for x
    x = 348,131.90/604.03
  6. Step 6: Final answer
    x = 576.35

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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.