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Finding the Fourth Proportional to 794.10, 1,189.62 and 428.40

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Solution

The fourth proportional to 794.10, 1,189.62 and 428.40 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.10 : 1,189.62 = 428.40 : x
  2. Step 2: Convert to fraction form
    794.10/1,189.62 = 428.40/x
  3. Step 3: Cross multiply
    794.10x = 1,189.62 × 428.40
  4. Step 4: Simplify right side
    794.10x = 509,633.21
  5. Step 5: Solve for x
    x = 509,633.21/794.10
  6. Step 6: Final answer
    x = 641.77

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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.