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Finding the Fourth Proportional to 537.30, 805.44 and 454.07

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Solution

The fourth proportional to 537.30, 805.44 and 454.07 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.30 : 805.44 = 454.07 : x
  2. Step 2: Convert to fraction form
    537.30/805.44 = 454.07/x
  3. Step 3: Cross multiply
    537.30x = 805.44 × 454.07
  4. Step 4: Simplify right side
    537.30x = 365,729.86
  5. Step 5: Solve for x
    x = 365,729.86/537.30
  6. Step 6: Final answer
    x = 680.68

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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.