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Finding the Fourth Proportional to 412.20, 569.58 and 372.84

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Solution

The fourth proportional to 412.20, 569.58 and 372.84 is: 515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 569.58 = 372.84 : x
  2. Step 2: Convert to fraction form
    412.20/569.58 = 372.84/x
  3. Step 3: Cross multiply
    412.20x = 569.58 × 372.84
  4. Step 4: Simplify right side
    412.20x = 212,362.21
  5. Step 5: Solve for x
    x = 212,362.21/412.20
  6. Step 6: Final answer
    x = 515.19

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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.