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Finding the Fourth Proportional to 409.95, 564.77 and 335.84

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Solution

The fourth proportional to 409.95, 564.77 and 335.84 is: 462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.95 : 564.77 = 335.84 : x
  2. Step 2: Convert to fraction form
    409.95/564.77 = 335.84/x
  3. Step 3: Cross multiply
    409.95x = 564.77 × 335.84
  4. Step 4: Simplify right side
    409.95x = 189,672.36
  5. Step 5: Solve for x
    x = 189,672.36/409.95
  6. Step 6: Final answer
    x = 462.67

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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.