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Finding the Fourth Proportional to 626.88, 864.80 and 364.74

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Solution

The fourth proportional to 626.88, 864.80 and 364.74 is: 503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.88 : 864.80 = 364.74 : x
  2. Step 2: Convert to fraction form
    626.88/864.80 = 364.74/x
  3. Step 3: Cross multiply
    626.88x = 864.80 × 364.74
  4. Step 4: Simplify right side
    626.88x = 315,427.15
  5. Step 5: Solve for x
    x = 315,427.15/626.88
  6. Step 6: Final answer
    x = 503.17

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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.