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Finding the Fourth Proportional to 775.88, 1,069.68 and 664.88

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Solution

The fourth proportional to 775.88, 1,069.68 and 664.88 is: 916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.88 : 1,069.68 = 664.88 : x
  2. Step 2: Convert to fraction form
    775.88/1,069.68 = 664.88/x
  3. Step 3: Cross multiply
    775.88x = 1,069.68 × 664.88
  4. Step 4: Simplify right side
    775.88x = 711,208.84
  5. Step 5: Solve for x
    x = 711,208.84/775.88
  6. Step 6: Final answer
    x = 916.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.