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Finding the Fourth Proportional to 479.83, 661.51 and 409.59

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Solution

The fourth proportional to 479.83, 661.51 and 409.59 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.83 : 661.51 = 409.59 : x
  2. Step 2: Convert to fraction form
    479.83/661.51 = 409.59/x
  3. Step 3: Cross multiply
    479.83x = 661.51 × 409.59
  4. Step 4: Simplify right side
    479.83x = 270,947.88
  5. Step 5: Solve for x
    x = 270,947.88/479.83
  6. Step 6: Final answer
    x = 564.67

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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.