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Finding the Fourth Proportional to 642.99, 887.34 and 359.41

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Solution

The fourth proportional to 642.99, 887.34 and 359.41 is: 495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.99 : 887.34 = 359.41 : x
  2. Step 2: Convert to fraction form
    642.99/887.34 = 359.41/x
  3. Step 3: Cross multiply
    642.99x = 887.34 × 359.41
  4. Step 4: Simplify right side
    642.99x = 318,917.07
  5. Step 5: Solve for x
    x = 318,917.07/642.99
  6. Step 6: Final answer
    x = 495.99

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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.