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Finding the Fourth Proportional to 412.83, 615.60 and 409.17

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Solution

The fourth proportional to 412.83, 615.60 and 409.17 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 615.60 = 409.17 : x
  2. Step 2: Convert to fraction form
    412.83/615.60 = 409.17/x
  3. Step 3: Cross multiply
    412.83x = 615.60 × 409.17
  4. Step 4: Simplify right side
    412.83x = 251,885.05
  5. Step 5: Solve for x
    x = 251,885.05/412.83
  6. Step 6: Final answer
    x = 610.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.