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Finding the Fourth Proportional to 450.65, 678.83 and 423.32

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Solution

The fourth proportional to 450.65, 678.83 and 423.32 is: 637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.65 : 678.83 = 423.32 : x
  2. Step 2: Convert to fraction form
    450.65/678.83 = 423.32/x
  3. Step 3: Cross multiply
    450.65x = 678.83 × 423.32
  4. Step 4: Simplify right side
    450.65x = 287,362.32
  5. Step 5: Solve for x
    x = 287,362.32/450.65
  6. Step 6: Final answer
    x = 637.66

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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.