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Finding the Fourth Proportional to 412.66, 569.85 and 329.50

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Solution

The fourth proportional to 412.66, 569.85 and 329.50 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.66 : 569.85 = 329.50 : x
  2. Step 2: Convert to fraction form
    412.66/569.85 = 329.50/x
  3. Step 3: Cross multiply
    412.66x = 569.85 × 329.50
  4. Step 4: Simplify right side
    412.66x = 187,762.73
  5. Step 5: Solve for x
    x = 187,762.73/412.66
  6. Step 6: Final answer
    x = 455.01

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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.