Home / 1,029.24-1,542.87-480.96

Finding the Fourth Proportional to 1,029.24, 1,542.87 and 480.96

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Solution

The fourth proportional to 1,029.24, 1,542.87 and 480.96 is: 720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.24 : 1,542.87 = 480.96 : x
  2. Step 2: Convert to fraction form
    1,029.24/1,542.87 = 480.96/x
  3. Step 3: Cross multiply
    1,029.24x = 1,542.87 × 480.96
  4. Step 4: Simplify right side
    1,029.24x = 742,058.76
  5. Step 5: Solve for x
    x = 742,058.76/1,029.24
  6. Step 6: Final answer
    x = 720.98

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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.