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Finding the Fourth Proportional to 879.93, 1,317.47 and 664.47

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Solution

The fourth proportional to 879.93, 1,317.47 and 664.47 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.93 : 1,317.47 = 664.47 : x
  2. Step 2: Convert to fraction form
    879.93/1,317.47 = 664.47/x
  3. Step 3: Cross multiply
    879.93x = 1,317.47 × 664.47
  4. Step 4: Simplify right side
    879.93x = 875,415.97
  5. Step 5: Solve for x
    x = 875,415.97/879.93
  6. Step 6: Final answer
    x = 994.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.