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Finding the Fourth Proportional to 626.80, 864.72 and 429.88

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Solution

The fourth proportional to 626.80, 864.72 and 429.88 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.80 : 864.72 = 429.88 : x
  2. Step 2: Convert to fraction form
    626.80/864.72 = 429.88/x
  3. Step 3: Cross multiply
    626.80x = 864.72 × 429.88
  4. Step 4: Simplify right side
    626.80x = 371,725.83
  5. Step 5: Solve for x
    x = 371,725.83/626.80
  6. Step 6: Final answer
    x = 593.05

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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.