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Finding the Fourth Proportional to 877.09, 1,316.22 and 364.09

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Solution

The fourth proportional to 877.09, 1,316.22 and 364.09 is: 546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.09 : 1,316.22 = 364.09 : x
  2. Step 2: Convert to fraction form
    877.09/1,316.22 = 364.09/x
  3. Step 3: Cross multiply
    877.09x = 1,316.22 × 364.09
  4. Step 4: Simplify right side
    877.09x = 479,222.54
  5. Step 5: Solve for x
    x = 479,222.54/877.09
  6. Step 6: Final answer
    x = 546.38

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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.