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Finding the Fourth Proportional to 642.02, 885.56 and 589.73

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Solution

The fourth proportional to 642.02, 885.56 and 589.73 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 885.56 = 589.73 : x
  2. Step 2: Convert to fraction form
    642.02/885.56 = 589.73/x
  3. Step 3: Cross multiply
    642.02x = 885.56 × 589.73
  4. Step 4: Simplify right side
    642.02x = 522,233.92
  5. Step 5: Solve for x
    x = 522,233.92/642.02
  6. Step 6: Final answer
    x = 813.43

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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.