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Finding the Fourth Proportional to 808.67, 1,213.01 and 520.31

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Solution

The fourth proportional to 808.67, 1,213.01 and 520.31 is: 780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.67 : 1,213.01 = 520.31 : x
  2. Step 2: Convert to fraction form
    808.67/1,213.01 = 520.31/x
  3. Step 3: Cross multiply
    808.67x = 1,213.01 × 520.31
  4. Step 4: Simplify right side
    808.67x = 631,132.57
  5. Step 5: Solve for x
    x = 631,132.57/808.67
  6. Step 6: Final answer
    x = 780.46

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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.