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Finding the Fourth Proportional to 873.86, 1,311.08 and 411.98

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Solution

The fourth proportional to 873.86, 1,311.08 and 411.98 is: 618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.86 : 1,311.08 = 411.98 : x
  2. Step 2: Convert to fraction form
    873.86/1,311.08 = 411.98/x
  3. Step 3: Cross multiply
    873.86x = 1,311.08 × 411.98
  4. Step 4: Simplify right side
    873.86x = 540,130.12
  5. Step 5: Solve for x
    x = 540,130.12/873.86
  6. Step 6: Final answer
    x = 618.10

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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.