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Finding the Fourth Proportional to 645.08, 966.57 and 384.45

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Solution

The fourth proportional to 645.08, 966.57 and 384.45 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.08 : 966.57 = 384.45 : x
  2. Step 2: Convert to fraction form
    645.08/966.57 = 384.45/x
  3. Step 3: Cross multiply
    645.08x = 966.57 × 384.45
  4. Step 4: Simplify right side
    645.08x = 371,597.84
  5. Step 5: Solve for x
    x = 371,597.84/645.08
  6. Step 6: Final answer
    x = 576.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.