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Finding the Fourth Proportional to 515.84, 709.56 and 452.51

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Solution

The fourth proportional to 515.84, 709.56 and 452.51 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 709.56 = 452.51 : x
  2. Step 2: Convert to fraction form
    515.84/709.56 = 452.51/x
  3. Step 3: Cross multiply
    515.84x = 709.56 × 452.51
  4. Step 4: Simplify right side
    515.84x = 321,080.73
  5. Step 5: Solve for x
    x = 321,080.73/515.84
  6. Step 6: Final answer
    x = 622.44

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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.