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Finding the Fourth Proportional to 775.86, 1,163.88 and 337.04

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Solution

The fourth proportional to 775.86, 1,163.88 and 337.04 is: 505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,163.88 = 337.04 : x
  2. Step 2: Convert to fraction form
    775.86/1,163.88 = 337.04/x
  3. Step 3: Cross multiply
    775.86x = 1,163.88 × 337.04
  4. Step 4: Simplify right side
    775.86x = 392,274.12
  5. Step 5: Solve for x
    x = 392,274.12/775.86
  6. Step 6: Final answer
    x = 505.60

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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.