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Finding the Fourth Proportional to 762.91, 1,052.75 and 464.11

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Solution

The fourth proportional to 762.91, 1,052.75 and 464.11 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.91 : 1,052.75 = 464.11 : x
  2. Step 2: Convert to fraction form
    762.91/1,052.75 = 464.11/x
  3. Step 3: Cross multiply
    762.91x = 1,052.75 × 464.11
  4. Step 4: Simplify right side
    762.91x = 488,595.01
  5. Step 5: Solve for x
    x = 488,595.01/762.91
  6. Step 6: Final answer
    x = 640.44

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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.