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Finding the Fourth Proportional to 570.72, 788.28 and 494.04

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Solution

The fourth proportional to 570.72, 788.28 and 494.04 is: 682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 788.28 = 494.04 : x
  2. Step 2: Convert to fraction form
    570.72/788.28 = 494.04/x
  3. Step 3: Cross multiply
    570.72x = 788.28 × 494.04
  4. Step 4: Simplify right side
    570.72x = 389,441.85
  5. Step 5: Solve for x
    x = 389,441.85/570.72
  6. Step 6: Final answer
    x = 682.37

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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.