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Finding the Fourth Proportional to 936.40, 1,403.53 and 704.56

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Solution

The fourth proportional to 936.40, 1,403.53 and 704.56 is: 1,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.40 : 1,403.53 = 704.56 : x
  2. Step 2: Convert to fraction form
    936.40/1,403.53 = 704.56/x
  3. Step 3: Cross multiply
    936.40x = 1,403.53 × 704.56
  4. Step 4: Simplify right side
    936.40x = 988,871.10
  5. Step 5: Solve for x
    x = 988,871.10/936.40
  6. Step 6: Final answer
    x = 1,056.03

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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.