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Finding the Fourth Proportional to 877.89, 1,313.60 and 722.37

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Solution

The fourth proportional to 877.89, 1,313.60 and 722.37 is: 1,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.89 : 1,313.60 = 722.37 : x
  2. Step 2: Convert to fraction form
    877.89/1,313.60 = 722.37/x
  3. Step 3: Cross multiply
    877.89x = 1,313.60 × 722.37
  4. Step 4: Simplify right side
    877.89x = 948,901.62
  5. Step 5: Solve for x
    x = 948,901.62/877.89
  6. Step 6: Final answer
    x = 1,080.89

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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.