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Finding the Fourth Proportional to 869.42, 1,200.34 and 603.78

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Solution

The fourth proportional to 869.42, 1,200.34 and 603.78 is: 833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.42 : 1,200.34 = 603.78 : x
  2. Step 2: Convert to fraction form
    869.42/1,200.34 = 603.78/x
  3. Step 3: Cross multiply
    869.42x = 1,200.34 × 603.78
  4. Step 4: Simplify right side
    869.42x = 724,737.54
  5. Step 5: Solve for x
    x = 724,737.54/869.42
  6. Step 6: Final answer
    x = 833.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.