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Finding the Fourth Proportional to 603.77, 904.43 and 505.99

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Solution

The fourth proportional to 603.77, 904.43 and 505.99 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.77 : 904.43 = 505.99 : x
  2. Step 2: Convert to fraction form
    603.77/904.43 = 505.99/x
  3. Step 3: Cross multiply
    603.77x = 904.43 × 505.99
  4. Step 4: Simplify right side
    603.77x = 457,633.98
  5. Step 5: Solve for x
    x = 457,633.98/603.77
  6. Step 6: Final answer
    x = 757.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.