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Finding the Fourth Proportional to 879.83, 1,318.10 and 586.43

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Solution

The fourth proportional to 879.83, 1,318.10 and 586.43 is: 878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.83 : 1,318.10 = 586.43 : x
  2. Step 2: Convert to fraction form
    879.83/1,318.10 = 586.43/x
  3. Step 3: Cross multiply
    879.83x = 1,318.10 × 586.43
  4. Step 4: Simplify right side
    879.83x = 772,963.86
  5. Step 5: Solve for x
    x = 772,963.86/879.83
  6. Step 6: Final answer
    x = 878.54

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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.