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Finding the Fourth Proportional to 1,018.78, 1,528.46 and 325.55

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Solution

The fourth proportional to 1,018.78, 1,528.46 and 325.55 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.78 : 1,528.46 = 325.55 : x
  2. Step 2: Convert to fraction form
    1,018.78/1,528.46 = 325.55/x
  3. Step 3: Cross multiply
    1,018.78x = 1,528.46 × 325.55
  4. Step 4: Simplify right side
    1,018.78x = 497,593.57
  5. Step 5: Solve for x
    x = 497,593.57/1,018.78
  6. Step 6: Final answer
    x = 488.42

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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.