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Finding the Fourth Proportional to 603.42, 903.67 and 516.25

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Solution

The fourth proportional to 603.42, 903.67 and 516.25 is: 773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.42 : 903.67 = 516.25 : x
  2. Step 2: Convert to fraction form
    603.42/903.67 = 516.25/x
  3. Step 3: Cross multiply
    603.42x = 903.67 × 516.25
  4. Step 4: Simplify right side
    603.42x = 466,519.64
  5. Step 5: Solve for x
    x = 466,519.64/603.42
  6. Step 6: Final answer
    x = 773.13

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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.