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Finding the Fourth Proportional to 923.73, 1,383.96 and 770.64

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Solution

The fourth proportional to 923.73, 1,383.96 and 770.64 is: 1,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.73 : 1,383.96 = 770.64 : x
  2. Step 2: Convert to fraction form
    923.73/1,383.96 = 770.64/x
  3. Step 3: Cross multiply
    923.73x = 1,383.96 × 770.64
  4. Step 4: Simplify right side
    923.73x = 1,066,534.93
  5. Step 5: Solve for x
    x = 1,066,534.93/923.73
  6. Step 6: Final answer
    x = 1,154.60

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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.