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Finding the Fourth Proportional to 810.82, 1,215.21 and 348.06

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Solution

The fourth proportional to 810.82, 1,215.21 and 348.06 is: 521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.82 : 1,215.21 = 348.06 : x
  2. Step 2: Convert to fraction form
    810.82/1,215.21 = 348.06/x
  3. Step 3: Cross multiply
    810.82x = 1,215.21 × 348.06
  4. Step 4: Simplify right side
    810.82x = 422,965.99
  5. Step 5: Solve for x
    x = 422,965.99/810.82
  6. Step 6: Final answer
    x = 521.65

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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.