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Finding the Fourth Proportional to 921.86, 1,383.34 and 661.58

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Solution

The fourth proportional to 921.86, 1,383.34 and 661.58 is: 992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.86 : 1,383.34 = 661.58 : x
  2. Step 2: Convert to fraction form
    921.86/1,383.34 = 661.58/x
  3. Step 3: Cross multiply
    921.86x = 1,383.34 × 661.58
  4. Step 4: Simplify right side
    921.86x = 915,190.08
  5. Step 5: Solve for x
    x = 915,190.08/921.86
  6. Step 6: Final answer
    x = 992.76

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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.