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Finding the Fourth Proportional to 989.78, 1,485.42 and 527.68

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Solution

The fourth proportional to 989.78, 1,485.42 and 527.68 is: 791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.78 : 1,485.42 = 527.68 : x
  2. Step 2: Convert to fraction form
    989.78/1,485.42 = 527.68/x
  3. Step 3: Cross multiply
    989.78x = 1,485.42 × 527.68
  4. Step 4: Simplify right side
    989.78x = 783,826.43
  5. Step 5: Solve for x
    x = 783,826.43/989.78
  6. Step 6: Final answer
    x = 791.92

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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.