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Finding the Fourth Proportional to 732.22, 1,098.50 and 270.09

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Solution

The fourth proportional to 732.22, 1,098.50 and 270.09 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.22 : 1,098.50 = 270.09 : x
  2. Step 2: Convert to fraction form
    732.22/1,098.50 = 270.09/x
  3. Step 3: Cross multiply
    732.22x = 1,098.50 × 270.09
  4. Step 4: Simplify right side
    732.22x = 296,692.51
  5. Step 5: Solve for x
    x = 296,692.51/732.22
  6. Step 6: Final answer
    x = 405.19

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1.5x scale

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.