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Finding the Fourth Proportional to 1,511.86, 2,267.49 and 415.94

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Solution

The fourth proportional to 1,511.86, 2,267.49 and 415.94 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.86 : 2,267.49 = 415.94 : x
  2. Step 2: Convert to fraction form
    1,511.86/2,267.49 = 415.94/x
  3. Step 3: Cross multiply
    1,511.86x = 2,267.49 × 415.94
  4. Step 4: Simplify right side
    1,511.86x = 943,139.79
  5. Step 5: Solve for x
    x = 943,139.79/1,511.86
  6. Step 6: Final answer
    x = 623.83

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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.