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Finding the Fourth Proportional to 1,509.78, 2,265.09 and 535.98

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Solution

The fourth proportional to 1,509.78, 2,265.09 and 535.98 is: 804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.78 : 2,265.09 = 535.98 : x
  2. Step 2: Convert to fraction form
    1,509.78/2,265.09 = 535.98/x
  3. Step 3: Cross multiply
    1,509.78x = 2,265.09 × 535.98
  4. Step 4: Simplify right side
    1,509.78x = 1,214,042.94
  5. Step 5: Solve for x
    x = 1,214,042.94/1,509.78
  6. Step 6: Final answer
    x = 804.12

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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.