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Finding the Fourth Proportional to 619.44, 854.93 and 420.67

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Solution

The fourth proportional to 619.44, 854.93 and 420.67 is: 580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.44 : 854.93 = 420.67 : x
  2. Step 2: Convert to fraction form
    619.44/854.93 = 420.67/x
  3. Step 3: Cross multiply
    619.44x = 854.93 × 420.67
  4. Step 4: Simplify right side
    619.44x = 359,643.40
  5. Step 5: Solve for x
    x = 359,643.40/619.44
  6. Step 6: Final answer
    x = 580.59

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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.