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Finding the Fourth Proportional to 1,256.79, 1,884.49 and 998.45

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Solution

The fourth proportional to 1,256.79, 1,884.49 and 998.45 is: 1,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.79 : 1,884.49 = 998.45 : x
  2. Step 2: Convert to fraction form
    1,256.79/1,884.49 = 998.45/x
  3. Step 3: Cross multiply
    1,256.79x = 1,884.49 × 998.45
  4. Step 4: Simplify right side
    1,256.79x = 1,881,569.04
  5. Step 5: Solve for x
    x = 1,881,569.04/1,256.79
  6. Step 6: Final answer
    x = 1,497.12

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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.