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Finding the Fourth Proportional to 756.53, 1,134.71 and 262.85

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Solution

The fourth proportional to 756.53, 1,134.71 and 262.85 is: 394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.53 : 1,134.71 = 262.85 : x
  2. Step 2: Convert to fraction form
    756.53/1,134.71 = 262.85/x
  3. Step 3: Cross multiply
    756.53x = 1,134.71 × 262.85
  4. Step 4: Simplify right side
    756.53x = 298,253.51
  5. Step 5: Solve for x
    x = 298,253.51/756.53
  6. Step 6: Final answer
    x = 394.24

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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.