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Finding the Fourth Proportional to 848.38, 1,170.17 and 778.67

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Solution

The fourth proportional to 848.38, 1,170.17 and 778.67 is: 1,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.38 : 1,170.17 = 778.67 : x
  2. Step 2: Convert to fraction form
    848.38/1,170.17 = 778.67/x
  3. Step 3: Cross multiply
    848.38x = 1,170.17 × 778.67
  4. Step 4: Simplify right side
    848.38x = 911,176.27
  5. Step 5: Solve for x
    x = 911,176.27/848.38
  6. Step 6: Final answer
    x = 1,074.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.