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Finding the Fourth Proportional to 603.08, 827.30 and 565.80

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Solution

The fourth proportional to 603.08, 827.30 and 565.80 is: 776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.08 : 827.30 = 565.80 : x
  2. Step 2: Convert to fraction form
    603.08/827.30 = 565.80/x
  3. Step 3: Cross multiply
    603.08x = 827.30 × 565.80
  4. Step 4: Simplify right side
    603.08x = 468,086.34
  5. Step 5: Solve for x
    x = 468,086.34/603.08
  6. Step 6: Final answer
    x = 776.16

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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.