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Finding the Fourth Proportional to 450.34, 678.97 and 419.02

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Solution

The fourth proportional to 450.34, 678.97 and 419.02 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 678.97 = 419.02 : x
  2. Step 2: Convert to fraction form
    450.34/678.97 = 419.02/x
  3. Step 3: Cross multiply
    450.34x = 678.97 × 419.02
  4. Step 4: Simplify right side
    450.34x = 284,502.01
  5. Step 5: Solve for x
    x = 284,502.01/450.34
  6. Step 6: Final answer
    x = 631.75

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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.