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Finding the Fourth Proportional to 810.33, 1,214.56 and 347.42

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Solution

The fourth proportional to 810.33, 1,214.56 and 347.42 is: 520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.33 : 1,214.56 = 347.42 : x
  2. Step 2: Convert to fraction form
    810.33/1,214.56 = 347.42/x
  3. Step 3: Cross multiply
    810.33x = 1,214.56 × 347.42
  4. Step 4: Simplify right side
    810.33x = 421,962.44
  5. Step 5: Solve for x
    x = 421,962.44/810.33
  6. Step 6: Final answer
    x = 520.73

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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.