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Finding the Fourth Proportional to 1,220.91, 1,827.26 and 734.30

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Solution

The fourth proportional to 1,220.91, 1,827.26 and 734.30 is: 1,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.91 : 1,827.26 = 734.30 : x
  2. Step 2: Convert to fraction form
    1,220.91/1,827.26 = 734.30/x
  3. Step 3: Cross multiply
    1,220.91x = 1,827.26 × 734.30
  4. Step 4: Simplify right side
    1,220.91x = 1,341,757.02
  5. Step 5: Solve for x
    x = 1,341,757.02/1,220.91
  6. Step 6: Final answer
    x = 1,098.98

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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.