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Finding the Fourth Proportional to 762.25, 1,051.91 and 412.94

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Solution

The fourth proportional to 762.25, 1,051.91 and 412.94 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.25 : 1,051.91 = 412.94 : x
  2. Step 2: Convert to fraction form
    762.25/1,051.91 = 412.94/x
  3. Step 3: Cross multiply
    762.25x = 1,051.91 × 412.94
  4. Step 4: Simplify right side
    762.25x = 434,375.72
  5. Step 5: Solve for x
    x = 434,375.72/762.25
  6. Step 6: Final answer
    x = 569.86

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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.