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Finding the Fourth Proportional to 624.12, 934.44 and 405.00

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Solution

The fourth proportional to 624.12, 934.44 and 405.00 is: 606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.12 : 934.44 = 405.00 : x
  2. Step 2: Convert to fraction form
    624.12/934.44 = 405.00/x
  3. Step 3: Cross multiply
    624.12x = 934.44 × 405.00
  4. Step 4: Simplify right side
    624.12x = 378,444.70
  5. Step 5: Solve for x
    x = 378,444.70/624.12
  6. Step 6: Final answer
    x = 606.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.