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Finding the Fourth Proportional to 455.18, 682.77 and 374.18

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Solution

The fourth proportional to 455.18, 682.77 and 374.18 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.18 : 682.77 = 374.18 : x
  2. Step 2: Convert to fraction form
    455.18/682.77 = 374.18/x
  3. Step 3: Cross multiply
    455.18x = 682.77 × 374.18
  4. Step 4: Simplify right side
    455.18x = 255,478.88
  5. Step 5: Solve for x
    x = 255,478.88/455.18
  6. Step 6: Final answer
    x = 561.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.