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Finding the Fourth Proportional to 626.09, 864.16 and 429.55

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Solution

The fourth proportional to 626.09, 864.16 and 429.55 is: 592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.09 : 864.16 = 429.55 : x
  2. Step 2: Convert to fraction form
    626.09/864.16 = 429.55/x
  3. Step 3: Cross multiply
    626.09x = 864.16 × 429.55
  4. Step 4: Simplify right side
    626.09x = 371,196.69
  5. Step 5: Solve for x
    x = 371,196.69/626.09
  6. Step 6: Final answer
    x = 592.89

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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.