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Finding the Fourth Proportional to 879.81, 1,214.15 and 486.83

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Solution

The fourth proportional to 879.81, 1,214.15 and 486.83 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.81 : 1,214.15 = 486.83 : x
  2. Step 2: Convert to fraction form
    879.81/1,214.15 = 486.83/x
  3. Step 3: Cross multiply
    879.81x = 1,214.15 × 486.83
  4. Step 4: Simplify right side
    879.81x = 591,082.21
  5. Step 5: Solve for x
    x = 591,082.21/879.81
  6. Step 6: Final answer
    x = 671.83

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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.