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Finding the Fourth Proportional to 914.24, 1,371.50 and 289.33

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Solution

The fourth proportional to 914.24, 1,371.50 and 289.33 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.24 : 1,371.50 = 289.33 : x
  2. Step 2: Convert to fraction form
    914.24/1,371.50 = 289.33/x
  3. Step 3: Cross multiply
    914.24x = 1,371.50 × 289.33
  4. Step 4: Simplify right side
    914.24x = 396,816.10
  5. Step 5: Solve for x
    x = 396,816.10/914.24
  6. Step 6: Final answer
    x = 434.04

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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.