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Finding the Fourth Proportional to 775.79, 1,162.67 and 666.85

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Solution

The fourth proportional to 775.79, 1,162.67 and 666.85 is: 999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.79 : 1,162.67 = 666.85 : x
  2. Step 2: Convert to fraction form
    775.79/1,162.67 = 666.85/x
  3. Step 3: Cross multiply
    775.79x = 1,162.67 × 666.85
  4. Step 4: Simplify right side
    775.79x = 775,326.49
  5. Step 5: Solve for x
    x = 775,326.49/775.79
  6. Step 6: Final answer
    x = 999.40

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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.