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Finding the Fourth Proportional to 769.66, 1,153.88 and 444.66

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Solution

The fourth proportional to 769.66, 1,153.88 and 444.66 is: 666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.66 : 1,153.88 = 444.66 : x
  2. Step 2: Convert to fraction form
    769.66/1,153.88 = 444.66/x
  3. Step 3: Cross multiply
    769.66x = 1,153.88 × 444.66
  4. Step 4: Simplify right side
    769.66x = 513,084.28
  5. Step 5: Solve for x
    x = 513,084.28/769.66
  6. Step 6: Final answer
    x = 666.64

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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.