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Finding the Fourth Proportional to 697.42, 1,046.40 and 516.34

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Solution

The fourth proportional to 697.42, 1,046.40 and 516.34 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.42 : 1,046.40 = 516.34 : x
  2. Step 2: Convert to fraction form
    697.42/1,046.40 = 516.34/x
  3. Step 3: Cross multiply
    697.42x = 1,046.40 × 516.34
  4. Step 4: Simplify right side
    697.42x = 540,298.18
  5. Step 5: Solve for x
    x = 540,298.18/697.42
  6. Step 6: Final answer
    x = 774.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.