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Finding the Fourth Proportional to 454.55, 624.11 and 442.67

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Solution

The fourth proportional to 454.55, 624.11 and 442.67 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.55 : 624.11 = 442.67 : x
  2. Step 2: Convert to fraction form
    454.55/624.11 = 442.67/x
  3. Step 3: Cross multiply
    454.55x = 624.11 × 442.67
  4. Step 4: Simplify right side
    454.55x = 276,269.44
  5. Step 5: Solve for x
    x = 276,269.44/454.55
  6. Step 6: Final answer
    x = 607.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.