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Finding the Fourth Proportional to 754.37, 1,131.53 and 509.18

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Solution

The fourth proportional to 754.37, 1,131.53 and 509.18 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.37 : 1,131.53 = 509.18 : x
  2. Step 2: Convert to fraction form
    754.37/1,131.53 = 509.18/x
  3. Step 3: Cross multiply
    754.37x = 1,131.53 × 509.18
  4. Step 4: Simplify right side
    754.37x = 576,152.14
  5. Step 5: Solve for x
    x = 576,152.14/754.37
  6. Step 6: Final answer
    x = 763.76

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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.