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Finding the Fourth Proportional to 676.70, 933.44 and 427.58

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Solution

The fourth proportional to 676.70, 933.44 and 427.58 is: 589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 933.44 = 427.58 : x
  2. Step 2: Convert to fraction form
    676.70/933.44 = 427.58/x
  3. Step 3: Cross multiply
    676.70x = 933.44 × 427.58
  4. Step 4: Simplify right side
    676.70x = 399,120.28
  5. Step 5: Solve for x
    x = 399,120.28/676.70
  6. Step 6: Final answer
    x = 589.80

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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.