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Finding the Fourth Proportional to 412.64, 619 and 357.24

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Solution

The fourth proportional to 412.64, 619 and 357.24 is: 535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 619 = 357.24 : x
  2. Step 2: Convert to fraction form
    412.64/619 = 357.24/x
  3. Step 3: Cross multiply
    412.64x = 619 × 357.24
  4. Step 4: Simplify right side
    412.64x = 221,131.56
  5. Step 5: Solve for x
    x = 221,131.56/412.64
  6. Step 6: Final answer
    x = 535.89

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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.