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Finding the Fourth Proportional to 620.55, 929.78 and 412.17

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Solution

The fourth proportional to 620.55, 929.78 and 412.17 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.55 : 929.78 = 412.17 : x
  2. Step 2: Convert to fraction form
    620.55/929.78 = 412.17/x
  3. Step 3: Cross multiply
    620.55x = 929.78 × 412.17
  4. Step 4: Simplify right side
    620.55x = 383,225.36
  5. Step 5: Solve for x
    x = 383,225.36/620.55
  6. Step 6: Final answer
    x = 617.56

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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.