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Finding the Fourth Proportional to 884.48, 1,319.48 and 813.03

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Solution

The fourth proportional to 884.48, 1,319.48 and 813.03 is: 1,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.48 : 1,319.48 = 813.03 : x
  2. Step 2: Convert to fraction form
    884.48/1,319.48 = 813.03/x
  3. Step 3: Cross multiply
    884.48x = 1,319.48 × 813.03
  4. Step 4: Simplify right side
    884.48x = 1,072,772.76
  5. Step 5: Solve for x
    x = 1,072,772.76/884.48
  6. Step 6: Final answer
    x = 1,212.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.