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Finding the Fourth Proportional to 1,021.92, 1,535.76 and 509.28

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Solution

The fourth proportional to 1,021.92, 1,535.76 and 509.28 is: 765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,535.76 = 509.28 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,535.76 = 509.28/x
  3. Step 3: Cross multiply
    1,021.92x = 1,535.76 × 509.28
  4. Step 4: Simplify right side
    1,021.92x = 782,131.85
  5. Step 5: Solve for x
    x = 782,131.85/1,021.92
  6. Step 6: Final answer
    x = 765.36

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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.