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Finding the Fourth Proportional to 603.72, 830.98 and 540.52

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Solution

The fourth proportional to 603.72, 830.98 and 540.52 is: 743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 830.98 = 540.52 : x
  2. Step 2: Convert to fraction form
    603.72/830.98 = 540.52/x
  3. Step 3: Cross multiply
    603.72x = 830.98 × 540.52
  4. Step 4: Simplify right side
    603.72x = 449,161.31
  5. Step 5: Solve for x
    x = 449,161.31/603.72
  6. Step 6: Final answer
    x = 743.99

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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.