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Finding the Fourth Proportional to 602, 830.48 and 427.44

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Solution

The fourth proportional to 602, 830.48 and 427.44 is: 589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.48 = 427.44 : x
  2. Step 2: Convert to fraction form
    602/830.48 = 427.44/x
  3. Step 3: Cross multiply
    602x = 830.48 × 427.44
  4. Step 4: Simplify right side
    602x = 354,980.37
  5. Step 5: Solve for x
    x = 354,980.37/602
  6. Step 6: Final answer
    x = 589.67

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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.