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Finding the Fourth Proportional to 411.84, 572.28 and 407.34

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Solution

The fourth proportional to 411.84, 572.28 and 407.34 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 572.28 = 407.34 : x
  2. Step 2: Convert to fraction form
    411.84/572.28 = 407.34/x
  3. Step 3: Cross multiply
    411.84x = 572.28 × 407.34
  4. Step 4: Simplify right side
    411.84x = 233,112.54
  5. Step 5: Solve for x
    x = 233,112.54/411.84
  6. Step 6: Final answer
    x = 566.03

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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.