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Finding the Fourth Proportional to 571.20, 790.56 and 556.80

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Solution

The fourth proportional to 571.20, 790.56 and 556.80 is: 770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.20 : 790.56 = 556.80 : x
  2. Step 2: Convert to fraction form
    571.20/790.56 = 556.80/x
  3. Step 3: Cross multiply
    571.20x = 790.56 × 556.80
  4. Step 4: Simplify right side
    571.20x = 440,183.81
  5. Step 5: Solve for x
    x = 440,183.81/571.20
  6. Step 6: Final answer
    x = 770.63

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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.