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Finding the Fourth Proportional to 697.81, 963.29 and 511.30

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Solution

The fourth proportional to 697.81, 963.29 and 511.30 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.81 : 963.29 = 511.30 : x
  2. Step 2: Convert to fraction form
    697.81/963.29 = 511.30/x
  3. Step 3: Cross multiply
    697.81x = 963.29 × 511.30
  4. Step 4: Simplify right side
    697.81x = 492,530.03
  5. Step 5: Solve for x
    x = 492,530.03/697.81
  6. Step 6: Final answer
    x = 705.83

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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.