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Finding the Fourth Proportional to 626.34, 863.77 and 429.91

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Solution

The fourth proportional to 626.34, 863.77 and 429.91 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.34 : 863.77 = 429.91 : x
  2. Step 2: Convert to fraction form
    626.34/863.77 = 429.91/x
  3. Step 3: Cross multiply
    626.34x = 863.77 × 429.91
  4. Step 4: Simplify right side
    626.34x = 371,343.36
  5. Step 5: Solve for x
    x = 371,343.36/626.34
  6. Step 6: Final answer
    x = 592.88

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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.