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Finding the Fourth Proportional to 412.79, 615.81 and 344.75

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Solution

The fourth proportional to 412.79, 615.81 and 344.75 is: 514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.79 : 615.81 = 344.75 : x
  2. Step 2: Convert to fraction form
    412.79/615.81 = 344.75/x
  3. Step 3: Cross multiply
    412.79x = 615.81 × 344.75
  4. Step 4: Simplify right side
    412.79x = 212,298.77
  5. Step 5: Solve for x
    x = 212,298.77/412.79
  6. Step 6: Final answer
    x = 514.30

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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.