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Finding the Fourth Proportional to 879.45, 1,318.05 and 416.22

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Solution

The fourth proportional to 879.45, 1,318.05 and 416.22 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.45 : 1,318.05 = 416.22 : x
  2. Step 2: Convert to fraction form
    879.45/1,318.05 = 416.22/x
  3. Step 3: Cross multiply
    879.45x = 1,318.05 × 416.22
  4. Step 4: Simplify right side
    879.45x = 548,598.77
  5. Step 5: Solve for x
    x = 548,598.77/879.45
  6. Step 6: Final answer
    x = 623.80

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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.