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Finding the Fourth Proportional to 1,318.41, 1,977.98 and 578.09

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Solution

The fourth proportional to 1,318.41, 1,977.98 and 578.09 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.41 : 1,977.98 = 578.09 : x
  2. Step 2: Convert to fraction form
    1,318.41/1,977.98 = 578.09/x
  3. Step 3: Cross multiply
    1,318.41x = 1,977.98 × 578.09
  4. Step 4: Simplify right side
    1,318.41x = 1,143,450.46
  5. Step 5: Solve for x
    x = 1,143,450.46/1,318.41
  6. Step 6: Final answer
    x = 867.30

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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.