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Finding the Fourth Proportional to 493.36, 677.23 and 436.86

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Solution

The fourth proportional to 493.36, 677.23 and 436.86 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 677.23 = 436.86 : x
  2. Step 2: Convert to fraction form
    493.36/677.23 = 436.86/x
  3. Step 3: Cross multiply
    493.36x = 677.23 × 436.86
  4. Step 4: Simplify right side
    493.36x = 295,853.61
  5. Step 5: Solve for x
    x = 295,853.61/493.36
  6. Step 6: Final answer
    x = 599.67

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1.5x scale

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.