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Finding the Fourth Proportional to 570.22, 786.90 and 308.24

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Solution

The fourth proportional to 570.22, 786.90 and 308.24 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.22 : 786.90 = 308.24 : x
  2. Step 2: Convert to fraction form
    570.22/786.90 = 308.24/x
  3. Step 3: Cross multiply
    570.22x = 786.90 × 308.24
  4. Step 4: Simplify right side
    570.22x = 242,550.89
  5. Step 5: Solve for x
    x = 242,550.89/570.22
  6. Step 6: Final answer
    x = 425.36

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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.