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Finding the Fourth Proportional to 604.02, 837.45 and 583.78

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Solution

The fourth proportional to 604.02, 837.45 and 583.78 is: 809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.02 : 837.45 = 583.78 : x
  2. Step 2: Convert to fraction form
    604.02/837.45 = 583.78/x
  3. Step 3: Cross multiply
    604.02x = 837.45 × 583.78
  4. Step 4: Simplify right side
    604.02x = 488,886.56
  5. Step 5: Solve for x
    x = 488,886.56/604.02
  6. Step 6: Final answer
    x = 809.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.