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Finding the Fourth Proportional to 573.43, 790.86 and 498.62

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Solution

The fourth proportional to 573.43, 790.86 and 498.62 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.43 : 790.86 = 498.62 : x
  2. Step 2: Convert to fraction form
    573.43/790.86 = 498.62/x
  3. Step 3: Cross multiply
    573.43x = 790.86 × 498.62
  4. Step 4: Simplify right side
    573.43x = 394,338.61
  5. Step 5: Solve for x
    x = 394,338.61/573.43
  6. Step 6: Final answer
    x = 687.68

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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.