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Finding the Fourth Proportional to 810.19, 1,215.08 and 347.92

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Solution

The fourth proportional to 810.19, 1,215.08 and 347.92 is: 521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.19 : 1,215.08 = 347.92 : x
  2. Step 2: Convert to fraction form
    810.19/1,215.08 = 347.92/x
  3. Step 3: Cross multiply
    810.19x = 1,215.08 × 347.92
  4. Step 4: Simplify right side
    810.19x = 422,750.63
  5. Step 5: Solve for x
    x = 422,750.63/810.19
  6. Step 6: Final answer
    x = 521.79

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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.