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Finding the Fourth Proportional to 1,664.08, 2,497.67 and 842.94

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Solution

The fourth proportional to 1,664.08, 2,497.67 and 842.94 is: 1,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.08 : 2,497.67 = 842.94 : x
  2. Step 2: Convert to fraction form
    1,664.08/2,497.67 = 842.94/x
  3. Step 3: Cross multiply
    1,664.08x = 2,497.67 × 842.94
  4. Step 4: Simplify right side
    1,664.08x = 2,105,385.95
  5. Step 5: Solve for x
    x = 2,105,385.95/1,664.08
  6. Step 6: Final answer
    x = 1,265.20

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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.