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Finding the Fourth Proportional to 412.78, 569.14 and 356.67

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Solution

The fourth proportional to 412.78, 569.14 and 356.67 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 569.14 = 356.67 : x
  2. Step 2: Convert to fraction form
    412.78/569.14 = 356.67/x
  3. Step 3: Cross multiply
    412.78x = 569.14 × 356.67
  4. Step 4: Simplify right side
    412.78x = 202,993.88
  5. Step 5: Solve for x
    x = 202,993.88/412.78
  6. Step 6: Final answer
    x = 491.77

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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.