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Finding the Fourth Proportional to 697.36, 1,046.24 and 286.88

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Solution

The fourth proportional to 697.36, 1,046.24 and 286.88 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.36 : 1,046.24 = 286.88 : x
  2. Step 2: Convert to fraction form
    697.36/1,046.24 = 286.88/x
  3. Step 3: Cross multiply
    697.36x = 1,046.24 × 286.88
  4. Step 4: Simplify right side
    697.36x = 300,145.33
  5. Step 5: Solve for x
    x = 300,145.33/697.36
  6. Step 6: Final answer
    x = 430.40

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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.