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Finding the Fourth Proportional to 1,285.11, 1,773.45 and 695.64

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Solution

The fourth proportional to 1,285.11, 1,773.45 and 695.64 is: 959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.11 : 1,773.45 = 695.64 : x
  2. Step 2: Convert to fraction form
    1,285.11/1,773.45 = 695.64/x
  3. Step 3: Cross multiply
    1,285.11x = 1,773.45 × 695.64
  4. Step 4: Simplify right side
    1,285.11x = 1,233,679.28
  5. Step 5: Solve for x
    x = 1,233,679.28/1,285.11
  6. Step 6: Final answer
    x = 959.98

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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.