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Finding the Fourth Proportional to 762.64, 1,144.49 and 352.04

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Solution

The fourth proportional to 762.64, 1,144.49 and 352.04 is: 528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.64 : 1,144.49 = 352.04 : x
  2. Step 2: Convert to fraction form
    762.64/1,144.49 = 352.04/x
  3. Step 3: Cross multiply
    762.64x = 1,144.49 × 352.04
  4. Step 4: Simplify right side
    762.64x = 402,908.24
  5. Step 5: Solve for x
    x = 402,908.24/762.64
  6. Step 6: Final answer
    x = 528.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.