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Finding the Fourth Proportional to 602.78, 830.67 and 427.82

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Solution

The fourth proportional to 602.78, 830.67 and 427.82 is: 589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 830.67 = 427.82 : x
  2. Step 2: Convert to fraction form
    602.78/830.67 = 427.82/x
  3. Step 3: Cross multiply
    602.78x = 830.67 × 427.82
  4. Step 4: Simplify right side
    602.78x = 355,377.24
  5. Step 5: Solve for x
    x = 355,377.24/602.78
  6. Step 6: Final answer
    x = 589.56

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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.