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Finding the Fourth Proportional to 698.75, 1,048.21 and 527.57

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Solution

The fourth proportional to 698.75, 1,048.21 and 527.57 is: 791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.75 : 1,048.21 = 527.57 : x
  2. Step 2: Convert to fraction form
    698.75/1,048.21 = 527.57/x
  3. Step 3: Cross multiply
    698.75x = 1,048.21 × 527.57
  4. Step 4: Simplify right side
    698.75x = 553,004.15
  5. Step 5: Solve for x
    x = 553,004.15/698.75
  6. Step 6: Final answer
    x = 791.42

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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.