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Finding the Fourth Proportional to 404.79, 558.81 and 287.34

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Solution

The fourth proportional to 404.79, 558.81 and 287.34 is: 396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.79 : 558.81 = 287.34 : x
  2. Step 2: Convert to fraction form
    404.79/558.81 = 287.34/x
  3. Step 3: Cross multiply
    404.79x = 558.81 × 287.34
  4. Step 4: Simplify right side
    404.79x = 160,568.47
  5. Step 5: Solve for x
    x = 160,568.47/404.79
  6. Step 6: Final answer
    x = 396.67

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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.