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Finding the Fourth Proportional to 626.86, 864.94 and 378.19

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Solution

The fourth proportional to 626.86, 864.94 and 378.19 is: 521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.86 : 864.94 = 378.19 : x
  2. Step 2: Convert to fraction form
    626.86/864.94 = 378.19/x
  3. Step 3: Cross multiply
    626.86x = 864.94 × 378.19
  4. Step 4: Simplify right side
    626.86x = 327,110.71
  5. Step 5: Solve for x
    x = 327,110.71/626.86
  6. Step 6: Final answer
    x = 521.82

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1.5x scale

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.