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Finding the Fourth Proportional to 570.87, 788.40 and 394.29

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Solution

The fourth proportional to 570.87, 788.40 and 394.29 is: 544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.87 : 788.40 = 394.29 : x
  2. Step 2: Convert to fraction form
    570.87/788.40 = 394.29/x
  3. Step 3: Cross multiply
    570.87x = 788.40 × 394.29
  4. Step 4: Simplify right side
    570.87x = 310,858.24
  5. Step 5: Solve for x
    x = 310,858.24/570.87
  6. Step 6: Final answer
    x = 544.53

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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.