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Finding the Fourth Proportional to 914.76, 1,370.39 and 504.09

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Solution

The fourth proportional to 914.76, 1,370.39 and 504.09 is: 755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.76 : 1,370.39 = 504.09 : x
  2. Step 2: Convert to fraction form
    914.76/1,370.39 = 504.09/x
  3. Step 3: Cross multiply
    914.76x = 1,370.39 × 504.09
  4. Step 4: Simplify right side
    914.76x = 690,797.37
  5. Step 5: Solve for x
    x = 690,797.37/914.76
  6. Step 6: Final answer
    x = 755.17

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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.