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Finding the Fourth Proportional to 412.76, 617.93 and 355.35

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Solution

The fourth proportional to 412.76, 617.93 and 355.35 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 617.93 = 355.35 : x
  2. Step 2: Convert to fraction form
    412.76/617.93 = 355.35/x
  3. Step 3: Cross multiply
    412.76x = 617.93 × 355.35
  4. Step 4: Simplify right side
    412.76x = 219,583.30
  5. Step 5: Solve for x
    x = 219,583.30/412.76
  6. Step 6: Final answer
    x = 531.98

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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.