Home / 1,634.10-2,449.08-766.50

Finding the Fourth Proportional to 1,634.10, 2,449.08 and 766.50

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Solution

The fourth proportional to 1,634.10, 2,449.08 and 766.50 is: 1,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.10 : 2,449.08 = 766.50 : x
  2. Step 2: Convert to fraction form
    1,634.10/2,449.08 = 766.50/x
  3. Step 3: Cross multiply
    1,634.10x = 2,449.08 × 766.50
  4. Step 4: Simplify right side
    1,634.10x = 1,877,219.82
  5. Step 5: Solve for x
    x = 1,877,219.82/1,634.10
  6. Step 6: Final answer
    x = 1,148.78

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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.