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Finding the Fourth Proportional to 512.83, 763.45 and 509.79

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Solution

The fourth proportional to 512.83, 763.45 and 509.79 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.83 : 763.45 = 509.79 : x
  2. Step 2: Convert to fraction form
    512.83/763.45 = 509.79/x
  3. Step 3: Cross multiply
    512.83x = 763.45 × 509.79
  4. Step 4: Simplify right side
    512.83x = 389,202.20
  5. Step 5: Solve for x
    x = 389,202.20/512.83
  6. Step 6: Final answer
    x = 758.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.