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Finding the Fourth Proportional to 736.34, 1,109.50 and 609.17

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Solution

The fourth proportional to 736.34, 1,109.50 and 609.17 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.34 : 1,109.50 = 609.17 : x
  2. Step 2: Convert to fraction form
    736.34/1,109.50 = 609.17/x
  3. Step 3: Cross multiply
    736.34x = 1,109.50 × 609.17
  4. Step 4: Simplify right side
    736.34x = 675,867.04
  5. Step 5: Solve for x
    x = 675,867.04/736.34
  6. Step 6: Final answer
    x = 917.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.