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Finding the Fourth Proportional to 416.34, 578.53 and 411.84

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Solution

The fourth proportional to 416.34, 578.53 and 411.84 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 578.53 = 411.84 : x
  2. Step 2: Convert to fraction form
    416.34/578.53 = 411.84/x
  3. Step 3: Cross multiply
    416.34x = 578.53 × 411.84
  4. Step 4: Simplify right side
    416.34x = 238,261.80
  5. Step 5: Solve for x
    x = 238,261.80/416.34
  6. Step 6: Final answer
    x = 572.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.