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Finding the Fourth Proportional to 1,163.64, 1,605.81 and 697.89

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Solution

The fourth proportional to 1,163.64, 1,605.81 and 697.89 is: 963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.64 : 1,605.81 = 697.89 : x
  2. Step 2: Convert to fraction form
    1,163.64/1,605.81 = 697.89/x
  3. Step 3: Cross multiply
    1,163.64x = 1,605.81 × 697.89
  4. Step 4: Simplify right side
    1,163.64x = 1,120,678.74
  5. Step 5: Solve for x
    x = 1,120,678.74/1,163.64
  6. Step 6: Final answer
    x = 963.08

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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.