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Finding the Fourth Proportional to 1,412.76, 1,949.74 and 888.68

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Solution

The fourth proportional to 1,412.76, 1,949.74 and 888.68 is: 1,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.76 : 1,949.74 = 888.68 : x
  2. Step 2: Convert to fraction form
    1,412.76/1,949.74 = 888.68/x
  3. Step 3: Cross multiply
    1,412.76x = 1,949.74 × 888.68
  4. Step 4: Simplify right side
    1,412.76x = 1,732,694.94
  5. Step 5: Solve for x
    x = 1,732,694.94/1,412.76
  6. Step 6: Final answer
    x = 1,226.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.