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Finding the Fourth Proportional to 696.81, 1,046.24 and 389.26

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Solution

The fourth proportional to 696.81, 1,046.24 and 389.26 is: 584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.81 : 1,046.24 = 389.26 : x
  2. Step 2: Convert to fraction form
    696.81/1,046.24 = 389.26/x
  3. Step 3: Cross multiply
    696.81x = 1,046.24 × 389.26
  4. Step 4: Simplify right side
    696.81x = 407,259.38
  5. Step 5: Solve for x
    x = 407,259.38/696.81
  6. Step 6: Final answer
    x = 584.46

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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.