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Finding the Fourth Proportional to 1,318.52, 1,818.42 and 820.64

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Solution

The fourth proportional to 1,318.52, 1,818.42 and 820.64 is: 1,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.52 : 1,818.42 = 820.64 : x
  2. Step 2: Convert to fraction form
    1,318.52/1,818.42 = 820.64/x
  3. Step 3: Cross multiply
    1,318.52x = 1,818.42 × 820.64
  4. Step 4: Simplify right side
    1,318.52x = 1,492,268.19
  5. Step 5: Solve for x
    x = 1,492,268.19/1,318.52
  6. Step 6: Final answer
    x = 1,131.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.