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Finding the Fourth Proportional to 840.73, 1,160.19 and 486.65

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Solution

The fourth proportional to 840.73, 1,160.19 and 486.65 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.73 : 1,160.19 = 486.65 : x
  2. Step 2: Convert to fraction form
    840.73/1,160.19 = 486.65/x
  3. Step 3: Cross multiply
    840.73x = 1,160.19 × 486.65
  4. Step 4: Simplify right side
    840.73x = 564,600.66
  5. Step 5: Solve for x
    x = 564,600.66/840.73
  6. Step 6: Final answer
    x = 671.56

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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.