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Finding the Fourth Proportional to 914.94, 1,262.61 and 522.09

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Solution

The fourth proportional to 914.94, 1,262.61 and 522.09 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.94 : 1,262.61 = 522.09 : x
  2. Step 2: Convert to fraction form
    914.94/1,262.61 = 522.09/x
  3. Step 3: Cross multiply
    914.94x = 1,262.61 × 522.09
  4. Step 4: Simplify right side
    914.94x = 659,196.05
  5. Step 5: Solve for x
    x = 659,196.05/914.94
  6. Step 6: Final answer
    x = 720.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.