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Finding the Fourth Proportional to 574.46, 864.78 and 490.94

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Solution

The fourth proportional to 574.46, 864.78 and 490.94 is: 739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 864.78 = 490.94 : x
  2. Step 2: Convert to fraction form
    574.46/864.78 = 490.94/x
  3. Step 3: Cross multiply
    574.46x = 864.78 × 490.94
  4. Step 4: Simplify right side
    574.46x = 424,555.09
  5. Step 5: Solve for x
    x = 424,555.09/574.46
  6. Step 6: Final answer
    x = 739.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.