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Finding the Fourth Proportional to 879.47, 1,213.64 and 486.48

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Solution

The fourth proportional to 879.47, 1,213.64 and 486.48 is: 671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.47 : 1,213.64 = 486.48 : x
  2. Step 2: Convert to fraction form
    879.47/1,213.64 = 486.48/x
  3. Step 3: Cross multiply
    879.47x = 1,213.64 × 486.48
  4. Step 4: Simplify right side
    879.47x = 590,411.59
  5. Step 5: Solve for x
    x = 590,411.59/879.47
  6. Step 6: Final answer
    x = 671.33

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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.