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Finding the Fourth Proportional to 687.02, 948.11 and 392.22

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Solution

The fourth proportional to 687.02, 948.11 and 392.22 is: 541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.02 : 948.11 = 392.22 : x
  2. Step 2: Convert to fraction form
    687.02/948.11 = 392.22/x
  3. Step 3: Cross multiply
    687.02x = 948.11 × 392.22
  4. Step 4: Simplify right side
    687.02x = 371,865.74
  5. Step 5: Solve for x
    x = 371,865.74/687.02
  6. Step 6: Final answer
    x = 541.28

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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.