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Finding the Fourth Proportional to 697.64, 1,046.42 and 286.76

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Solution

The fourth proportional to 697.64, 1,046.42 and 286.76 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 1,046.42 = 286.76 : x
  2. Step 2: Convert to fraction form
    697.64/1,046.42 = 286.76/x
  3. Step 3: Cross multiply
    697.64x = 1,046.42 × 286.76
  4. Step 4: Simplify right side
    697.64x = 300,064.73
  5. Step 5: Solve for x
    x = 300,064.73/697.64
  6. Step 6: Final answer
    x = 430.12

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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.