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Finding the Fourth Proportional to 455.51, 678.99 and 426.29

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Solution

The fourth proportional to 455.51, 678.99 and 426.29 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.51 : 678.99 = 426.29 : x
  2. Step 2: Convert to fraction form
    455.51/678.99 = 426.29/x
  3. Step 3: Cross multiply
    455.51x = 678.99 × 426.29
  4. Step 4: Simplify right side
    455.51x = 289,444.52
  5. Step 5: Solve for x
    x = 289,444.52/455.51
  6. Step 6: Final answer
    x = 635.44

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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.