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Finding the Fourth Proportional to 794.31, 1,191.80 and 428.67

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Solution

The fourth proportional to 794.31, 1,191.80 and 428.67 is: 643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.31 : 1,191.80 = 428.67 : x
  2. Step 2: Convert to fraction form
    794.31/1,191.80 = 428.67/x
  3. Step 3: Cross multiply
    794.31x = 1,191.80 × 428.67
  4. Step 4: Simplify right side
    794.31x = 510,888.91
  5. Step 5: Solve for x
    x = 510,888.91/794.31
  6. Step 6: Final answer
    x = 643.19

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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.