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Finding the Fourth Proportional to 873.99, 1,311.26 and 386.78

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Solution

The fourth proportional to 873.99, 1,311.26 and 386.78 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.99 : 1,311.26 = 386.78 : x
  2. Step 2: Convert to fraction form
    873.99/1,311.26 = 386.78/x
  3. Step 3: Cross multiply
    873.99x = 1,311.26 × 386.78
  4. Step 4: Simplify right side
    873.99x = 507,160.65
  5. Step 5: Solve for x
    x = 507,160.65/873.99
  6. Step 6: Final answer
    x = 580.28

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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.