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Finding the Fourth Proportional to 1,412.60, 2,119.10 and 547

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Solution

The fourth proportional to 1,412.60, 2,119.10 and 547 is: 820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.60 : 2,119.10 = 547 : x
  2. Step 2: Convert to fraction form
    1,412.60/2,119.10 = 547/x
  3. Step 3: Cross multiply
    1,412.60x = 2,119.10 × 547
  4. Step 4: Simplify right side
    1,412.60x = 1,159,147.70
  5. Step 5: Solve for x
    x = 1,159,147.70/1,412.60
  6. Step 6: Final answer
    x = 820.58

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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.