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Finding the Fourth Proportional to 574.90, 858.44 and 451.78

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Solution

The fourth proportional to 574.90, 858.44 and 451.78 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.90 : 858.44 = 451.78 : x
  2. Step 2: Convert to fraction form
    574.90/858.44 = 451.78/x
  3. Step 3: Cross multiply
    574.90x = 858.44 × 451.78
  4. Step 4: Simplify right side
    574.90x = 387,826.02
  5. Step 5: Solve for x
    x = 387,826.02/574.90
  6. Step 6: Final answer
    x = 674.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.