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Finding the Fourth Proportional to 1,076.40, 1,614.60 and 528.09

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Solution

The fourth proportional to 1,076.40, 1,614.60 and 528.09 is: 792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.40 : 1,614.60 = 528.09 : x
  2. Step 2: Convert to fraction form
    1,076.40/1,614.60 = 528.09/x
  3. Step 3: Cross multiply
    1,076.40x = 1,614.60 × 528.09
  4. Step 4: Simplify right side
    1,076.40x = 852,654.11
  5. Step 5: Solve for x
    x = 852,654.11/1,076.40
  6. Step 6: Final answer
    x = 792.14

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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.