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Finding the Fourth Proportional to 575.92, 789.86 and 567.76

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Solution

The fourth proportional to 575.92, 789.86 and 567.76 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 789.86 = 567.76 : x
  2. Step 2: Convert to fraction form
    575.92/789.86 = 567.76/x
  3. Step 3: Cross multiply
    575.92x = 789.86 × 567.76
  4. Step 4: Simplify right side
    575.92x = 448,450.91
  5. Step 5: Solve for x
    x = 448,450.91/575.92
  6. Step 6: Final answer
    x = 778.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.