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Finding the Fourth Proportional to 769.14, 1,061.50 and 470.40

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Solution

The fourth proportional to 769.14, 1,061.50 and 470.40 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,061.50 = 470.40 : x
  2. Step 2: Convert to fraction form
    769.14/1,061.50 = 470.40/x
  3. Step 3: Cross multiply
    769.14x = 1,061.50 × 470.40
  4. Step 4: Simplify right side
    769.14x = 499,329.60
  5. Step 5: Solve for x
    x = 499,329.60/769.14
  6. Step 6: Final answer
    x = 649.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.