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Finding the Fourth Proportional to 850.48, 1,272.76 and 713.68

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Solution

The fourth proportional to 850.48, 1,272.76 and 713.68 is: 1,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.48 : 1,272.76 = 713.68 : x
  2. Step 2: Convert to fraction form
    850.48/1,272.76 = 713.68/x
  3. Step 3: Cross multiply
    850.48x = 1,272.76 × 713.68
  4. Step 4: Simplify right side
    850.48x = 908,343.36
  5. Step 5: Solve for x
    x = 908,343.36/850.48
  6. Step 6: Final answer
    x = 1,068.04

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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.