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Finding the Fourth Proportional to 571.06, 784.28 and 505.48

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Solution

The fourth proportional to 571.06, 784.28 and 505.48 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.06 : 784.28 = 505.48 : x
  2. Step 2: Convert to fraction form
    571.06/784.28 = 505.48/x
  3. Step 3: Cross multiply
    571.06x = 784.28 × 505.48
  4. Step 4: Simplify right side
    571.06x = 396,437.85
  5. Step 5: Solve for x
    x = 396,437.85/571.06
  6. Step 6: Final answer
    x = 694.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.