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Finding the Fourth Proportional to 751.05, 1,125.70 and 263.84

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Solution

The fourth proportional to 751.05, 1,125.70 and 263.84 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.05 : 1,125.70 = 263.84 : x
  2. Step 2: Convert to fraction form
    751.05/1,125.70 = 263.84/x
  3. Step 3: Cross multiply
    751.05x = 1,125.70 × 263.84
  4. Step 4: Simplify right side
    751.05x = 296,998.40
  5. Step 5: Solve for x
    x = 296,998.40/751.05
  6. Step 6: Final answer
    x = 395.44

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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.