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Finding the Fourth Proportional to 1,350, 2,023.47 and 527.94

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Solution

The fourth proportional to 1,350, 2,023.47 and 527.94 is: 791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350 : 2,023.47 = 527.94 : x
  2. Step 2: Convert to fraction form
    1,350/2,023.47 = 527.94/x
  3. Step 3: Cross multiply
    1,350x = 2,023.47 × 527.94
  4. Step 4: Simplify right side
    1,350x = 1,068,270.75
  5. Step 5: Solve for x
    x = 1,068,270.75/1,350
  6. Step 6: Final answer
    x = 791.31

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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.