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Finding the Fourth Proportional to 1,658.82, 2,486.01 and 878.67

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Solution

The fourth proportional to 1,658.82, 2,486.01 and 878.67 is: 1,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.82 : 2,486.01 = 878.67 : x
  2. Step 2: Convert to fraction form
    1,658.82/2,486.01 = 878.67/x
  3. Step 3: Cross multiply
    1,658.82x = 2,486.01 × 878.67
  4. Step 4: Simplify right side
    1,658.82x = 2,184,382.41
  5. Step 5: Solve for x
    x = 2,184,382.41/1,658.82
  6. Step 6: Final answer
    x = 1,316.83

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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.