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Finding the Fourth Proportional to 603.59, 833.09 and 505.17

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Solution

The fourth proportional to 603.59, 833.09 and 505.17 is: 697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.59 : 833.09 = 505.17 : x
  2. Step 2: Convert to fraction form
    603.59/833.09 = 505.17/x
  3. Step 3: Cross multiply
    603.59x = 833.09 × 505.17
  4. Step 4: Simplify right side
    603.59x = 420,849.55
  5. Step 5: Solve for x
    x = 420,849.55/603.59
  6. Step 6: Final answer
    x = 697.25

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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.