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Finding the Fourth Proportional to 873.94, 1,311.14 and 386.88

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Solution

The fourth proportional to 873.94, 1,311.14 and 386.88 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.94 : 1,311.14 = 386.88 : x
  2. Step 2: Convert to fraction form
    873.94/1,311.14 = 386.88/x
  3. Step 3: Cross multiply
    873.94x = 1,311.14 × 386.88
  4. Step 4: Simplify right side
    873.94x = 507,247.72
  5. Step 5: Solve for x
    x = 507,247.72/873.94
  6. Step 6: Final answer
    x = 580.42

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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.