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Finding the Fourth Proportional to 769.72, 1,154.12 and 307.57

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Solution

The fourth proportional to 769.72, 1,154.12 and 307.57 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.72 : 1,154.12 = 307.57 : x
  2. Step 2: Convert to fraction form
    769.72/1,154.12 = 307.57/x
  3. Step 3: Cross multiply
    769.72x = 1,154.12 × 307.57
  4. Step 4: Simplify right side
    769.72x = 354,968.27
  5. Step 5: Solve for x
    x = 354,968.27/769.72
  6. Step 6: Final answer
    x = 461.17

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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.