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Finding the Fourth Proportional to 810.52, 1,213.58 and 645.21

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Solution

The fourth proportional to 810.52, 1,213.58 and 645.21 is: 966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.52 : 1,213.58 = 645.21 : x
  2. Step 2: Convert to fraction form
    810.52/1,213.58 = 645.21/x
  3. Step 3: Cross multiply
    810.52x = 1,213.58 × 645.21
  4. Step 4: Simplify right side
    810.52x = 783,015.56
  5. Step 5: Solve for x
    x = 783,015.56/810.52
  6. Step 6: Final answer
    x = 966.07

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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.