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Finding the Fourth Proportional to 854.26, 1,272.65 and 812.98

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Solution

The fourth proportional to 854.26, 1,272.65 and 812.98 is: 1,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.26 : 1,272.65 = 812.98 : x
  2. Step 2: Convert to fraction form
    854.26/1,272.65 = 812.98/x
  3. Step 3: Cross multiply
    854.26x = 1,272.65 × 812.98
  4. Step 4: Simplify right side
    854.26x = 1,034,639.00
  5. Step 5: Solve for x
    x = 1,034,639.00/854.26
  6. Step 6: Final answer
    x = 1,211.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.