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Finding the Fourth Proportional to 626.13, 864.03 and 342.54

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Solution

The fourth proportional to 626.13, 864.03 and 342.54 is: 472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.13 : 864.03 = 342.54 : x
  2. Step 2: Convert to fraction form
    626.13/864.03 = 342.54/x
  3. Step 3: Cross multiply
    626.13x = 864.03 × 342.54
  4. Step 4: Simplify right side
    626.13x = 295,966.34
  5. Step 5: Solve for x
    x = 295,966.34/626.13
  6. Step 6: Final answer
    x = 472.69

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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.