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Finding the Fourth Proportional to 762.21, 1,051.85 and 412.90

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Solution

The fourth proportional to 762.21, 1,051.85 and 412.90 is: 569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.21 : 1,051.85 = 412.90 : x
  2. Step 2: Convert to fraction form
    762.21/1,051.85 = 412.90/x
  3. Step 3: Cross multiply
    762.21x = 1,051.85 × 412.90
  4. Step 4: Simplify right side
    762.21x = 434,311.21
  5. Step 5: Solve for x
    x = 434,311.21/762.21
  6. Step 6: Final answer
    x = 569.80

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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.