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Finding the Fourth Proportional to 697.69, 1,046.54 and 286.87

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Solution

The fourth proportional to 697.69, 1,046.54 and 286.87 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 1,046.54 = 286.87 : x
  2. Step 2: Convert to fraction form
    697.69/1,046.54 = 286.87/x
  3. Step 3: Cross multiply
    697.69x = 1,046.54 × 286.87
  4. Step 4: Simplify right side
    697.69x = 300,214.26
  5. Step 5: Solve for x
    x = 300,214.26/697.69
  6. Step 6: Final answer
    x = 430.30

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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.