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Finding the Fourth Proportional to 626.46, 864.53 and 405.79

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Solution

The fourth proportional to 626.46, 864.53 and 405.79 is: 560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.46 : 864.53 = 405.79 : x
  2. Step 2: Convert to fraction form
    626.46/864.53 = 405.79/x
  3. Step 3: Cross multiply
    626.46x = 864.53 × 405.79
  4. Step 4: Simplify right side
    626.46x = 350,819.25
  5. Step 5: Solve for x
    x = 350,819.25/626.46
  6. Step 6: Final answer
    x = 560.00

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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.