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Finding the Fourth Proportional to 537.29, 805.86 and 446.57

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Solution

The fourth proportional to 537.29, 805.86 and 446.57 is: 669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.29 : 805.86 = 446.57 : x
  2. Step 2: Convert to fraction form
    537.29/805.86 = 446.57/x
  3. Step 3: Cross multiply
    537.29x = 805.86 × 446.57
  4. Step 4: Simplify right side
    537.29x = 359,870.67
  5. Step 5: Solve for x
    x = 359,870.67/537.29
  6. Step 6: Final answer
    x = 669.79

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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.