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Finding the Fourth Proportional to 762.04, 1,051.26 and 513.44

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Solution

The fourth proportional to 762.04, 1,051.26 and 513.44 is: 708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.04 : 1,051.26 = 513.44 : x
  2. Step 2: Convert to fraction form
    762.04/1,051.26 = 513.44/x
  3. Step 3: Cross multiply
    762.04x = 1,051.26 × 513.44
  4. Step 4: Simplify right side
    762.04x = 539,753.68
  5. Step 5: Solve for x
    x = 539,753.68/762.04
  6. Step 6: Final answer
    x = 708.31

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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.