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Finding the Fourth Proportional to 873.99, 1,311.90 and 411.99

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Solution

The fourth proportional to 873.99, 1,311.90 and 411.99 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.99 : 1,311.90 = 411.99 : x
  2. Step 2: Convert to fraction form
    873.99/1,311.90 = 411.99/x
  3. Step 3: Cross multiply
    873.99x = 1,311.90 × 411.99
  4. Step 4: Simplify right side
    873.99x = 540,483.22
  5. Step 5: Solve for x
    x = 540,483.22/873.99
  6. Step 6: Final answer
    x = 618.41

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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.