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Finding the Fourth Proportional to 626.34, 864.06 and 405.21

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Solution

The fourth proportional to 626.34, 864.06 and 405.21 is: 559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.34 : 864.06 = 405.21 : x
  2. Step 2: Convert to fraction form
    626.34/864.06 = 405.21/x
  3. Step 3: Cross multiply
    626.34x = 864.06 × 405.21
  4. Step 4: Simplify right side
    626.34x = 350,125.75
  5. Step 5: Solve for x
    x = 350,125.75/626.34
  6. Step 6: Final answer
    x = 559.00

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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.