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Finding the Fourth Proportional to 450.98, 623.02 and 357.42

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Solution

The fourth proportional to 450.98, 623.02 and 357.42 is: 493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.98 : 623.02 = 357.42 : x
  2. Step 2: Convert to fraction form
    450.98/623.02 = 357.42/x
  3. Step 3: Cross multiply
    450.98x = 623.02 × 357.42
  4. Step 4: Simplify right side
    450.98x = 222,679.81
  5. Step 5: Solve for x
    x = 222,679.81/450.98
  6. Step 6: Final answer
    x = 493.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.