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Finding the Fourth Proportional to 783.23, 1,174.86 and 235.42

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Solution

The fourth proportional to 783.23, 1,174.86 and 235.42 is: 353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.23 : 1,174.86 = 235.42 : x
  2. Step 2: Convert to fraction form
    783.23/1,174.86 = 235.42/x
  3. Step 3: Cross multiply
    783.23x = 1,174.86 × 235.42
  4. Step 4: Simplify right side
    783.23x = 276,585.54
  5. Step 5: Solve for x
    x = 276,585.54/783.23
  6. Step 6: Final answer
    x = 353.13

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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.