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Finding the Fourth Proportional to 773.64, 1,059.84 and 695.88

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Solution

The fourth proportional to 773.64, 1,059.84 and 695.88 is: 953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,059.84 = 695.88 : x
  2. Step 2: Convert to fraction form
    773.64/1,059.84 = 695.88/x
  3. Step 3: Cross multiply
    773.64x = 1,059.84 × 695.88
  4. Step 4: Simplify right side
    773.64x = 737,521.46
  5. Step 5: Solve for x
    x = 737,521.46/773.64
  6. Step 6: Final answer
    x = 953.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.