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Finding the Fourth Proportional to 1,318.54, 1,977.79 and 394.10

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Solution

The fourth proportional to 1,318.54, 1,977.79 and 394.10 is: 591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.54 : 1,977.79 = 394.10 : x
  2. Step 2: Convert to fraction form
    1,318.54/1,977.79 = 394.10/x
  3. Step 3: Cross multiply
    1,318.54x = 1,977.79 × 394.10
  4. Step 4: Simplify right side
    1,318.54x = 779,445.07
  5. Step 5: Solve for x
    x = 779,445.07/1,318.54
  6. Step 6: Final answer
    x = 591.14

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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.