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Finding the Fourth Proportional to 853.22, 1,284.80 and 723.67

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Solution

The fourth proportional to 853.22, 1,284.80 and 723.67 is: 1,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.22 : 1,284.80 = 723.67 : x
  2. Step 2: Convert to fraction form
    853.22/1,284.80 = 723.67/x
  3. Step 3: Cross multiply
    853.22x = 1,284.80 × 723.67
  4. Step 4: Simplify right side
    853.22x = 929,770.81
  5. Step 5: Solve for x
    x = 929,770.81/853.22
  6. Step 6: Final answer
    x = 1,089.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.