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Finding the Fourth Proportional to 411.65, 567.92 and 384.11

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Solution

The fourth proportional to 411.65, 567.92 and 384.11 is: 529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.65 : 567.92 = 384.11 : x
  2. Step 2: Convert to fraction form
    411.65/567.92 = 384.11/x
  3. Step 3: Cross multiply
    411.65x = 567.92 × 384.11
  4. Step 4: Simplify right side
    411.65x = 218,141.83
  5. Step 5: Solve for x
    x = 218,141.83/411.65
  6. Step 6: Final answer
    x = 529.92

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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.