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Finding the Fourth Proportional to 794.34, 1,191.84 and 428.70

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Solution

The fourth proportional to 794.34, 1,191.84 and 428.70 is: 643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.34 : 1,191.84 = 428.70 : x
  2. Step 2: Convert to fraction form
    794.34/1,191.84 = 428.70/x
  3. Step 3: Cross multiply
    794.34x = 1,191.84 × 428.70
  4. Step 4: Simplify right side
    794.34x = 510,938.83
  5. Step 5: Solve for x
    x = 510,938.83/794.34
  6. Step 6: Final answer
    x = 643.23

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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.