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Finding the Fourth Proportional to 899.38, 1,239.74 and 824.05

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Solution

The fourth proportional to 899.38, 1,239.74 and 824.05 is: 1,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.38 : 1,239.74 = 824.05 : x
  2. Step 2: Convert to fraction form
    899.38/1,239.74 = 824.05/x
  3. Step 3: Cross multiply
    899.38x = 1,239.74 × 824.05
  4. Step 4: Simplify right side
    899.38x = 1,021,603.63
  5. Step 5: Solve for x
    x = 1,021,603.63/899.38
  6. Step 6: Final answer
    x = 1,135.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.