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Finding the Fourth Proportional to 670.82, 1,006.74 and 541.15

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Solution

The fourth proportional to 670.82, 1,006.74 and 541.15 is: 812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.82 : 1,006.74 = 541.15 : x
  2. Step 2: Convert to fraction form
    670.82/1,006.74 = 541.15/x
  3. Step 3: Cross multiply
    670.82x = 1,006.74 × 541.15
  4. Step 4: Simplify right side
    670.82x = 544,797.35
  5. Step 5: Solve for x
    x = 544,797.35/670.82
  6. Step 6: Final answer
    x = 812.14

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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.