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Finding the Fourth Proportional to 604.90, 833.64 and 494.02

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Solution

The fourth proportional to 604.90, 833.64 and 494.02 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 833.64 = 494.02 : x
  2. Step 2: Convert to fraction form
    604.90/833.64 = 494.02/x
  3. Step 3: Cross multiply
    604.90x = 833.64 × 494.02
  4. Step 4: Simplify right side
    604.90x = 411,834.83
  5. Step 5: Solve for x
    x = 411,834.83/604.90
  6. Step 6: Final answer
    x = 680.83

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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.