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Finding the Fourth Proportional to 1,412.32, 1,948.40 and 998.88

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Solution

The fourth proportional to 1,412.32, 1,948.40 and 998.88 is: 1,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.32 : 1,948.40 = 998.88 : x
  2. Step 2: Convert to fraction form
    1,412.32/1,948.40 = 998.88/x
  3. Step 3: Cross multiply
    1,412.32x = 1,948.40 × 998.88
  4. Step 4: Simplify right side
    1,412.32x = 1,946,217.79
  5. Step 5: Solve for x
    x = 1,946,217.79/1,412.32
  6. Step 6: Final answer
    x = 1,378.03

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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.