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Finding the Fourth Proportional to 769.36, 1,061.71 and 454.63

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Solution

The fourth proportional to 769.36, 1,061.71 and 454.63 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.36 : 1,061.71 = 454.63 : x
  2. Step 2: Convert to fraction form
    769.36/1,061.71 = 454.63/x
  3. Step 3: Cross multiply
    769.36x = 1,061.71 × 454.63
  4. Step 4: Simplify right side
    769.36x = 482,685.22
  5. Step 5: Solve for x
    x = 482,685.22/769.36
  6. Step 6: Final answer
    x = 627.39

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1.5x scale

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.