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Finding the Fourth Proportional to 783.26, 1,172.97 and 457.64

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Solution

The fourth proportional to 783.26, 1,172.97 and 457.64 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,172.97 = 457.64 : x
  2. Step 2: Convert to fraction form
    783.26/1,172.97 = 457.64/x
  3. Step 3: Cross multiply
    783.26x = 1,172.97 × 457.64
  4. Step 4: Simplify right side
    783.26x = 536,797.99
  5. Step 5: Solve for x
    x = 536,797.99/783.26
  6. Step 6: Final answer
    x = 685.34

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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.