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Finding the Fourth Proportional to 1,094.27, 1,639.85 and 545.67

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Solution

The fourth proportional to 1,094.27, 1,639.85 and 545.67 is: 817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.27 : 1,639.85 = 545.67 : x
  2. Step 2: Convert to fraction form
    1,094.27/1,639.85 = 545.67/x
  3. Step 3: Cross multiply
    1,094.27x = 1,639.85 × 545.67
  4. Step 4: Simplify right side
    1,094.27x = 894,814.22
  5. Step 5: Solve for x
    x = 894,814.22/1,094.27
  6. Step 6: Final answer
    x = 817.73

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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.