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Finding the Fourth Proportional to 762.98, 1,052.99 and 464.25

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Solution

The fourth proportional to 762.98, 1,052.99 and 464.25 is: 640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.98 : 1,052.99 = 464.25 : x
  2. Step 2: Convert to fraction form
    762.98/1,052.99 = 464.25/x
  3. Step 3: Cross multiply
    762.98x = 1,052.99 × 464.25
  4. Step 4: Simplify right side
    762.98x = 488,846.57
  5. Step 5: Solve for x
    x = 488,846.57/762.98
  6. Step 6: Final answer
    x = 640.71

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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.