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Finding the Fourth Proportional to 573.58, 790.98 and 415.94

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Solution

The fourth proportional to 573.58, 790.98 and 415.94 is: 573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.58 : 790.98 = 415.94 : x
  2. Step 2: Convert to fraction form
    573.58/790.98 = 415.94/x
  3. Step 3: Cross multiply
    573.58x = 790.98 × 415.94
  4. Step 4: Simplify right side
    573.58x = 329,000.22
  5. Step 5: Solve for x
    x = 329,000.22/573.58
  6. Step 6: Final answer
    x = 573.59

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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.