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Finding the Fourth Proportional to 628.30, 867.02 and 392.17

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Solution

The fourth proportional to 628.30, 867.02 and 392.17 is: 541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.30 : 867.02 = 392.17 : x
  2. Step 2: Convert to fraction form
    628.30/867.02 = 392.17/x
  3. Step 3: Cross multiply
    628.30x = 867.02 × 392.17
  4. Step 4: Simplify right side
    628.30x = 340,017.72
  5. Step 5: Solve for x
    x = 340,017.72/628.30
  6. Step 6: Final answer
    x = 541.17

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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.