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Finding the Fourth Proportional to 676.01, 932.83 and 427.33

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Solution

The fourth proportional to 676.01, 932.83 and 427.33 is: 589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.01 : 932.83 = 427.33 : x
  2. Step 2: Convert to fraction form
    676.01/932.83 = 427.33/x
  3. Step 3: Cross multiply
    676.01x = 932.83 × 427.33
  4. Step 4: Simplify right side
    676.01x = 398,621.58
  5. Step 5: Solve for x
    x = 398,621.58/676.01
  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.