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Finding the Fourth Proportional to 589.31, 883.99 and 453.16

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Solution

The fourth proportional to 589.31, 883.99 and 453.16 is: 679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.31 : 883.99 = 453.16 : x
  2. Step 2: Convert to fraction form
    589.31/883.99 = 453.16/x
  3. Step 3: Cross multiply
    589.31x = 883.99 × 453.16
  4. Step 4: Simplify right side
    589.31x = 400,584.49
  5. Step 5: Solve for x
    x = 400,584.49/589.31
  6. Step 6: Final answer
    x = 679.76

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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.