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Finding the Fourth Proportional to 886.14, 1,330.74 and 847.08

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Solution

The fourth proportional to 886.14, 1,330.74 and 847.08 is: 1,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,330.74 = 847.08 : x
  2. Step 2: Convert to fraction form
    886.14/1,330.74 = 847.08/x
  3. Step 3: Cross multiply
    886.14x = 1,330.74 × 847.08
  4. Step 4: Simplify right side
    886.14x = 1,127,243.24
  5. Step 5: Solve for x
    x = 1,127,243.24/886.14
  6. Step 6: Final answer
    x = 1,272.08

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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.