Home / 1,221.52-1,830.30-734.98

Finding the Fourth Proportional to 1,221.52, 1,830.30 and 734.98

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Solution

The fourth proportional to 1,221.52, 1,830.30 and 734.98 is: 1,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.52 : 1,830.30 = 734.98 : x
  2. Step 2: Convert to fraction form
    1,221.52/1,830.30 = 734.98/x
  3. Step 3: Cross multiply
    1,221.52x = 1,830.30 × 734.98
  4. Step 4: Simplify right side
    1,221.52x = 1,345,233.89
  5. Step 5: Solve for x
    x = 1,345,233.89/1,221.52
  6. Step 6: Final answer
    x = 1,101.28

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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.