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Finding the Fourth Proportional to 899.78, 1,348.76 and 682.91

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Solution

The fourth proportional to 899.78, 1,348.76 and 682.91 is: 1,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.78 : 1,348.76 = 682.91 : x
  2. Step 2: Convert to fraction form
    899.78/1,348.76 = 682.91/x
  3. Step 3: Cross multiply
    899.78x = 1,348.76 × 682.91
  4. Step 4: Simplify right side
    899.78x = 921,081.69
  5. Step 5: Solve for x
    x = 921,081.69/899.78
  6. Step 6: Final answer
    x = 1,023.67

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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.