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Finding the Fourth Proportional to 626.08, 864 and 364.16

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Solution

The fourth proportional to 626.08, 864 and 364.16 is: 502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.08 : 864 = 364.16 : x
  2. Step 2: Convert to fraction form
    626.08/864 = 364.16/x
  3. Step 3: Cross multiply
    626.08x = 864 × 364.16
  4. Step 4: Simplify right side
    626.08x = 314,634.24
  5. Step 5: Solve for x
    x = 314,634.24/626.08
  6. Step 6: Final answer
    x = 502.55

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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.