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Finding the Fourth Proportional to 762.00, 1,051.60 and 447.28

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Solution

The fourth proportional to 762.00, 1,051.60 and 447.28 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.00 : 1,051.60 = 447.28 : x
  2. Step 2: Convert to fraction form
    762.00/1,051.60 = 447.28/x
  3. Step 3: Cross multiply
    762.00x = 1,051.60 × 447.28
  4. Step 4: Simplify right side
    762.00x = 470,361.52
  5. Step 5: Solve for x
    x = 470,361.52/762.00
  6. Step 6: Final answer
    x = 617.27

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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.