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Finding the Fourth Proportional to 412.39, 615.30 and 383.35

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Solution

The fourth proportional to 412.39, 615.30 and 383.35 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.39 : 615.30 = 383.35 : x
  2. Step 2: Convert to fraction form
    412.39/615.30 = 383.35/x
  3. Step 3: Cross multiply
    412.39x = 615.30 × 383.35
  4. Step 4: Simplify right side
    412.39x = 235,875.26
  5. Step 5: Solve for x
    x = 235,875.26/412.39
  6. Step 6: Final answer
    x = 571.97

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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.