Home / 1,542.18-2,313.26-676.28

Finding the Fourth Proportional to 1,542.18, 2,313.26 and 676.28

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Solution

The fourth proportional to 1,542.18, 2,313.26 and 676.28 is: 1,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.18 : 2,313.26 = 676.28 : x
  2. Step 2: Convert to fraction form
    1,542.18/2,313.26 = 676.28/x
  3. Step 3: Cross multiply
    1,542.18x = 2,313.26 × 676.28
  4. Step 4: Simplify right side
    1,542.18x = 1,564,411.47
  5. Step 5: Solve for x
    x = 1,564,411.47/1,542.18
  6. Step 6: Final answer
    x = 1,014.42

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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.