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Finding the Fourth Proportional to 1,318.96, 1,978.10 and 394.28

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Solution

The fourth proportional to 1,318.96, 1,978.10 and 394.28 is: 591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.96 : 1,978.10 = 394.28 : x
  2. Step 2: Convert to fraction form
    1,318.96/1,978.10 = 394.28/x
  3. Step 3: Cross multiply
    1,318.96x = 1,978.10 × 394.28
  4. Step 4: Simplify right side
    1,318.96x = 779,921.31
  5. Step 5: Solve for x
    x = 779,921.31/1,318.96
  6. Step 6: Final answer
    x = 591.32

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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.