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Finding the Fourth Proportional to 1,511.88, 2,265.78 and 537.06

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Solution

The fourth proportional to 1,511.88, 2,265.78 and 537.06 is: 804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.88 : 2,265.78 = 537.06 : x
  2. Step 2: Convert to fraction form
    1,511.88/2,265.78 = 537.06/x
  3. Step 3: Cross multiply
    1,511.88x = 2,265.78 × 537.06
  4. Step 4: Simplify right side
    1,511.88x = 1,216,859.81
  5. Step 5: Solve for x
    x = 1,216,859.81/1,511.88
  6. Step 6: Final answer
    x = 804.87

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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.