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Finding the Fourth Proportional to 578.33, 866.93 and 207.92

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Solution

The fourth proportional to 578.33, 866.93 and 207.92 is: 311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.33 : 866.93 = 207.92 : x
  2. Step 2: Convert to fraction form
    578.33/866.93 = 207.92/x
  3. Step 3: Cross multiply
    578.33x = 866.93 × 207.92
  4. Step 4: Simplify right side
    578.33x = 180,246.71
  5. Step 5: Solve for x
    x = 180,246.71/578.33
  6. Step 6: Final answer
    x = 311.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.