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Finding the Fourth Proportional to 450.15, 678.08 and 422.82

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Solution

The fourth proportional to 450.15, 678.08 and 422.82 is: 636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.15 : 678.08 = 422.82 : x
  2. Step 2: Convert to fraction form
    450.15/678.08 = 422.82/x
  3. Step 3: Cross multiply
    450.15x = 678.08 × 422.82
  4. Step 4: Simplify right side
    450.15x = 286,703.67
  5. Step 5: Solve for x
    x = 286,703.67/450.15
  6. Step 6: Final answer
    x = 636.91

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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.