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Finding the Fourth Proportional to 879.83, 1,214.18 and 486.84

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Solution

The fourth proportional to 879.83, 1,214.18 and 486.84 is: 671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.83 : 1,214.18 = 486.84 : x
  2. Step 2: Convert to fraction form
    879.83/1,214.18 = 486.84/x
  3. Step 3: Cross multiply
    879.83x = 1,214.18 × 486.84
  4. Step 4: Simplify right side
    879.83x = 591,108.96
  5. Step 5: Solve for x
    x = 591,108.96/879.83
  6. Step 6: Final answer
    x = 671.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.