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Finding the Fourth Proportional to 537, 804.12 and 487.68

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Solution

The fourth proportional to 537, 804.12 and 487.68 is: 730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 804.12 = 487.68 : x
  2. Step 2: Convert to fraction form
    537/804.12 = 487.68/x
  3. Step 3: Cross multiply
    537x = 804.12 × 487.68
  4. Step 4: Simplify right side
    537x = 392,153.24
  5. Step 5: Solve for x
    x = 392,153.24/537
  6. Step 6: Final answer
    x = 730.27

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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.