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Finding the Fourth Proportional to 603.79, 827.65 and 595.59

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Solution

The fourth proportional to 603.79, 827.65 and 595.59 is: 816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.79 : 827.65 = 595.59 : x
  2. Step 2: Convert to fraction form
    603.79/827.65 = 595.59/x
  3. Step 3: Cross multiply
    603.79x = 827.65 × 595.59
  4. Step 4: Simplify right side
    603.79x = 492,940.06
  5. Step 5: Solve for x
    x = 492,940.06/603.79
  6. Step 6: Final answer
    x = 816.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.