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Finding the Fourth Proportional to 674.86, 930.75 and 570.20

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Solution

The fourth proportional to 674.86, 930.75 and 570.20 is: 786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 930.75 = 570.20 : x
  2. Step 2: Convert to fraction form
    674.86/930.75 = 570.20/x
  3. Step 3: Cross multiply
    674.86x = 930.75 × 570.20
  4. Step 4: Simplify right side
    674.86x = 530,713.65
  5. Step 5: Solve for x
    x = 530,713.65/674.86
  6. Step 6: Final answer
    x = 786.41

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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.