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Finding the Fourth Proportional to 603.72, 838.83 and 597.30

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Solution

The fourth proportional to 603.72, 838.83 and 597.30 is: 829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 838.83 = 597.30 : x
  2. Step 2: Convert to fraction form
    603.72/838.83 = 597.30/x
  3. Step 3: Cross multiply
    603.72x = 838.83 × 597.30
  4. Step 4: Simplify right side
    603.72x = 501,033.16
  5. Step 5: Solve for x
    x = 501,033.16/603.72
  6. Step 6: Final answer
    x = 829.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.