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Finding the Fourth Proportional to 1,150.94, 1,588.84 and 678.68

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Solution

The fourth proportional to 1,150.94, 1,588.84 and 678.68 is: 936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.94 : 1,588.84 = 678.68 : x
  2. Step 2: Convert to fraction form
    1,150.94/1,588.84 = 678.68/x
  3. Step 3: Cross multiply
    1,150.94x = 1,588.84 × 678.68
  4. Step 4: Simplify right side
    1,150.94x = 1,078,316.21
  5. Step 5: Solve for x
    x = 1,078,316.21/1,150.94
  6. Step 6: Final answer
    x = 936.90

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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.