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Finding the Fourth Proportional to 769.47, 1,061.75 and 454.68

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Solution

The fourth proportional to 769.47, 1,061.75 and 454.68 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.47 : 1,061.75 = 454.68 : x
  2. Step 2: Convert to fraction form
    769.47/1,061.75 = 454.68/x
  3. Step 3: Cross multiply
    769.47x = 1,061.75 × 454.68
  4. Step 4: Simplify right side
    769.47x = 482,754.22
  5. Step 5: Solve for x
    x = 482,754.22/769.47
  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.