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Finding the Fourth Proportional to 784, 1,174.56 and 509.44

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Solution

The fourth proportional to 784, 1,174.56 and 509.44 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,174.56 = 509.44 : x
  2. Step 2: Convert to fraction form
    784/1,174.56 = 509.44/x
  3. Step 3: Cross multiply
    784x = 1,174.56 × 509.44
  4. Step 4: Simplify right side
    784x = 598,367.85
  5. Step 5: Solve for x
    x = 598,367.85/784
  6. Step 6: Final answer
    x = 763.22

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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.