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Finding the Fourth Proportional to 762.78, 1,052.09 and 468.21

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Solution

The fourth proportional to 762.78, 1,052.09 and 468.21 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,052.09 = 468.21 : x
  2. Step 2: Convert to fraction form
    762.78/1,052.09 = 468.21/x
  3. Step 3: Cross multiply
    762.78x = 1,052.09 × 468.21
  4. Step 4: Simplify right side
    762.78x = 492,596.72
  5. Step 5: Solve for x
    x = 492,596.72/762.78
  6. Step 6: Final answer
    x = 645.79

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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.