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Finding the Fourth Proportional to 899.90, 1,236.58 and 733.76

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Solution

The fourth proportional to 899.90, 1,236.58 and 733.76 is: 1,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.90 : 1,236.58 = 733.76 : x
  2. Step 2: Convert to fraction form
    899.90/1,236.58 = 733.76/x
  3. Step 3: Cross multiply
    899.90x = 1,236.58 × 733.76
  4. Step 4: Simplify right side
    899.90x = 907,352.94
  5. Step 5: Solve for x
    x = 907,352.94/899.90
  6. Step 6: Final answer
    x = 1,008.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.