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Finding the Fourth Proportional to 641.18, 885.33 and 392.63

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Solution

The fourth proportional to 641.18, 885.33 and 392.63 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.18 : 885.33 = 392.63 : x
  2. Step 2: Convert to fraction form
    641.18/885.33 = 392.63/x
  3. Step 3: Cross multiply
    641.18x = 885.33 × 392.63
  4. Step 4: Simplify right side
    641.18x = 347,602.69
  5. Step 5: Solve for x
    x = 347,602.69/641.18
  6. Step 6: Final answer
    x = 542.13

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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.