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Finding the Fourth Proportional to 411.54, 564.56 and 386.70

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Solution

The fourth proportional to 411.54, 564.56 and 386.70 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 564.56 = 386.70 : x
  2. Step 2: Convert to fraction form
    411.54/564.56 = 386.70/x
  3. Step 3: Cross multiply
    411.54x = 564.56 × 386.70
  4. Step 4: Simplify right side
    411.54x = 218,313.42
  5. Step 5: Solve for x
    x = 218,313.42/411.54
  6. Step 6: Final answer
    x = 530.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.