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Finding the Fourth Proportional to 575.85, 794.92 and 389.60

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Solution

The fourth proportional to 575.85, 794.92 and 389.60 is: 537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.85 : 794.92 = 389.60 : x
  2. Step 2: Convert to fraction form
    575.85/794.92 = 389.60/x
  3. Step 3: Cross multiply
    575.85x = 794.92 × 389.60
  4. Step 4: Simplify right side
    575.85x = 309,696.39
  5. Step 5: Solve for x
    x = 309,696.39/575.85
  6. Step 6: Final answer
    x = 537.80

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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.