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Finding the Fourth Proportional to 537.84, 805.68 and 345.60

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Solution

The fourth proportional to 537.84, 805.68 and 345.60 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 805.68 = 345.60 : x
  2. Step 2: Convert to fraction form
    537.84/805.68 = 345.60/x
  3. Step 3: Cross multiply
    537.84x = 805.68 × 345.60
  4. Step 4: Simplify right side
    537.84x = 278,443.01
  5. Step 5: Solve for x
    x = 278,443.01/537.84
  6. Step 6: Final answer
    x = 517.71

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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.