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Finding the Fourth Proportional to 756.73, 1,134.37 and 431.47

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Solution

The fourth proportional to 756.73, 1,134.37 and 431.47 is: 646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.73 : 1,134.37 = 431.47 : x
  2. Step 2: Convert to fraction form
    756.73/1,134.37 = 431.47/x
  3. Step 3: Cross multiply
    756.73x = 1,134.37 × 431.47
  4. Step 4: Simplify right side
    756.73x = 489,438.79
  5. Step 5: Solve for x
    x = 489,438.79/756.73
  6. Step 6: Final answer
    x = 646.79

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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.