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Finding the Fourth Proportional to 921.76, 1,383.36 and 597.04

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Solution

The fourth proportional to 921.76, 1,383.36 and 597.04 is: 896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,383.36 = 597.04 : x
  2. Step 2: Convert to fraction form
    921.76/1,383.36 = 597.04/x
  3. Step 3: Cross multiply
    921.76x = 1,383.36 × 597.04
  4. Step 4: Simplify right side
    921.76x = 825,921.25
  5. Step 5: Solve for x
    x = 825,921.25/921.76
  6. Step 6: Final answer
    x = 896.03

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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.