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Finding the Fourth Proportional to 672.95, 928.30 and 423.85

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Solution

The fourth proportional to 672.95, 928.30 and 423.85 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.95 : 928.30 = 423.85 : x
  2. Step 2: Convert to fraction form
    672.95/928.30 = 423.85/x
  3. Step 3: Cross multiply
    672.95x = 928.30 × 423.85
  4. Step 4: Simplify right side
    672.95x = 393,453.72
  5. Step 5: Solve for x
    x = 393,453.72/672.95
  6. Step 6: Final answer
    x = 584.67

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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.