Home / 1,253.16-1,877.31-923.49

Finding the Fourth Proportional to 1,253.16, 1,877.31 and 923.49

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Solution

The fourth proportional to 1,253.16, 1,877.31 and 923.49 is: 1,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.16 : 1,877.31 = 923.49 : x
  2. Step 2: Convert to fraction form
    1,253.16/1,877.31 = 923.49/x
  3. Step 3: Cross multiply
    1,253.16x = 1,877.31 × 923.49
  4. Step 4: Simplify right side
    1,253.16x = 1,733,677.01
  5. Step 5: Solve for x
    x = 1,733,677.01/1,253.16
  6. Step 6: Final answer
    x = 1,383.44

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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.