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Finding the Fourth Proportional to 573.82, 790.59 and 405.71

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Solution

The fourth proportional to 573.82, 790.59 and 405.71 is: 558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.82 : 790.59 = 405.71 : x
  2. Step 2: Convert to fraction form
    573.82/790.59 = 405.71/x
  3. Step 3: Cross multiply
    573.82x = 790.59 × 405.71
  4. Step 4: Simplify right side
    573.82x = 320,750.80
  5. Step 5: Solve for x
    x = 320,750.80/573.82
  6. Step 6: Final answer
    x = 558.98

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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.