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Finding the Fourth Proportional to 431.87, 592.52 and 411.21

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Solution

The fourth proportional to 431.87, 592.52 and 411.21 is: 564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 592.52 = 411.21 : x
  2. Step 2: Convert to fraction form
    431.87/592.52 = 411.21/x
  3. Step 3: Cross multiply
    431.87x = 592.52 × 411.21
  4. Step 4: Simplify right side
    431.87x = 243,648.09
  5. Step 5: Solve for x
    x = 243,648.09/431.87
  6. Step 6: Final answer
    x = 564.18

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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.