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Finding the Fourth Proportional to 840.97, 1,160.45 and 486.84

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Solution

The fourth proportional to 840.97, 1,160.45 and 486.84 is: 671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,160.45 = 486.84 : x
  2. Step 2: Convert to fraction form
    840.97/1,160.45 = 486.84/x
  3. Step 3: Cross multiply
    840.97x = 1,160.45 × 486.84
  4. Step 4: Simplify right side
    840.97x = 564,945.24
  5. Step 5: Solve for x
    x = 564,945.24/840.97
  6. Step 6: Final answer
    x = 671.78

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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.