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Finding the Fourth Proportional to 573.45, 790.77 and 490.83

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Solution

The fourth proportional to 573.45, 790.77 and 490.83 is: 676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 790.77 = 490.83 : x
  2. Step 2: Convert to fraction form
    573.45/790.77 = 490.83/x
  3. Step 3: Cross multiply
    573.45x = 790.77 × 490.83
  4. Step 4: Simplify right side
    573.45x = 388,133.64
  5. Step 5: Solve for x
    x = 388,133.64/573.45
  6. Step 6: Final answer
    x = 676.84

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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.