Home / 1,029.86-1,542.21-976.34

Finding the Fourth Proportional to 1,029.86, 1,542.21 and 976.34

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Solution

The fourth proportional to 1,029.86, 1,542.21 and 976.34 is: 1,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.86 : 1,542.21 = 976.34 : x
  2. Step 2: Convert to fraction form
    1,029.86/1,542.21 = 976.34/x
  3. Step 3: Cross multiply
    1,029.86x = 1,542.21 × 976.34
  4. Step 4: Simplify right side
    1,029.86x = 1,505,721.31
  5. Step 5: Solve for x
    x = 1,505,721.31/1,029.86
  6. Step 6: Final answer
    x = 1,462.06

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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.