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Finding the Fourth Proportional to 570.90, 788.46 and 394.12

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Solution

The fourth proportional to 570.90, 788.46 and 394.12 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.90 : 788.46 = 394.12 : x
  2. Step 2: Convert to fraction form
    570.90/788.46 = 394.12/x
  3. Step 3: Cross multiply
    570.90x = 788.46 × 394.12
  4. Step 4: Simplify right side
    570.90x = 310,744.04
  5. Step 5: Solve for x
    x = 310,744.04/570.90
  6. Step 6: Final answer
    x = 544.31

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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.