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Finding the Fourth Proportional to 892.85, 1,339.47 and 689.94

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Solution

The fourth proportional to 892.85, 1,339.47 and 689.94 is: 1,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.85 : 1,339.47 = 689.94 : x
  2. Step 2: Convert to fraction form
    892.85/1,339.47 = 689.94/x
  3. Step 3: Cross multiply
    892.85x = 1,339.47 × 689.94
  4. Step 4: Simplify right side
    892.85x = 924,153.93
  5. Step 5: Solve for x
    x = 924,153.93/892.85
  6. Step 6: Final answer
    x = 1,035.07

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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.