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Finding the Fourth Proportional to 456.30, 680.74 and 374.90

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Solution

The fourth proportional to 456.30, 680.74 and 374.90 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 680.74 = 374.90 : x
  2. Step 2: Convert to fraction form
    456.30/680.74 = 374.90/x
  3. Step 3: Cross multiply
    456.30x = 680.74 × 374.90
  4. Step 4: Simplify right side
    456.30x = 255,205.09
  5. Step 5: Solve for x
    x = 255,205.09/456.30
  6. Step 6: Final answer
    x = 559.29

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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.