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Finding the Fourth Proportional to 642.09, 884.14 and 589.47

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Solution

The fourth proportional to 642.09, 884.14 and 589.47 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.09 : 884.14 = 589.47 : x
  2. Step 2: Convert to fraction form
    642.09/884.14 = 589.47/x
  3. Step 3: Cross multiply
    642.09x = 884.14 × 589.47
  4. Step 4: Simplify right side
    642.09x = 521,174.01
  5. Step 5: Solve for x
    x = 521,174.01/642.09
  6. Step 6: Final answer
    x = 811.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.