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Finding the Fourth Proportional to 570.64, 788.34 and 374.62

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Solution

The fourth proportional to 570.64, 788.34 and 374.62 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 788.34 = 374.62 : x
  2. Step 2: Convert to fraction form
    570.64/788.34 = 374.62/x
  3. Step 3: Cross multiply
    570.64x = 788.34 × 374.62
  4. Step 4: Simplify right side
    570.64x = 295,327.93
  5. Step 5: Solve for x
    x = 295,327.93/570.64
  6. Step 6: Final answer
    x = 517.54

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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.