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Finding the Fourth Proportional to 892.86, 1,341.45 and 568.86

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Solution

The fourth proportional to 892.86, 1,341.45 and 568.86 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,341.45 = 568.86 : x
  2. Step 2: Convert to fraction form
    892.86/1,341.45 = 568.86/x
  3. Step 3: Cross multiply
    892.86x = 1,341.45 × 568.86
  4. Step 4: Simplify right side
    892.86x = 763,097.25
  5. Step 5: Solve for x
    x = 763,097.25/892.86
  6. Step 6: Final answer
    x = 854.67

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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.