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Finding the Fourth Proportional to 412.29, 565.58 and 387.45

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Solution

The fourth proportional to 412.29, 565.58 and 387.45 is: 531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 565.58 = 387.45 : x
  2. Step 2: Convert to fraction form
    412.29/565.58 = 387.45/x
  3. Step 3: Cross multiply
    412.29x = 565.58 × 387.45
  4. Step 4: Simplify right side
    412.29x = 219,134.94
  5. Step 5: Solve for x
    x = 219,134.94/412.29
  6. Step 6: Final answer
    x = 531.51

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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.