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Finding the Fourth Proportional to 1,021.76, 1,533.24 and 372.55

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Solution

The fourth proportional to 1,021.76, 1,533.24 and 372.55 is: 559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.76 : 1,533.24 = 372.55 : x
  2. Step 2: Convert to fraction form
    1,021.76/1,533.24 = 372.55/x
  3. Step 3: Cross multiply
    1,021.76x = 1,533.24 × 372.55
  4. Step 4: Simplify right side
    1,021.76x = 571,200.90
  5. Step 5: Solve for x
    x = 571,200.90/1,021.76
  6. Step 6: Final answer
    x = 559.04

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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.