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Finding the Fourth Proportional to 873.76, 1,311.54 and 411.90

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Solution

The fourth proportional to 873.76, 1,311.54 and 411.90 is: 618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.76 : 1,311.54 = 411.90 : x
  2. Step 2: Convert to fraction form
    873.76/1,311.54 = 411.90/x
  3. Step 3: Cross multiply
    873.76x = 1,311.54 × 411.90
  4. Step 4: Simplify right side
    873.76x = 540,223.33
  5. Step 5: Solve for x
    x = 540,223.33/873.76
  6. Step 6: Final answer
    x = 618.27

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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.