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Finding the Fourth Proportional to 470.39, 705.71 and 384.55

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Solution

The fourth proportional to 470.39, 705.71 and 384.55 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 705.71 = 384.55 : x
  2. Step 2: Convert to fraction form
    470.39/705.71 = 384.55/x
  3. Step 3: Cross multiply
    470.39x = 705.71 × 384.55
  4. Step 4: Simplify right side
    470.39x = 271,379.98
  5. Step 5: Solve for x
    x = 271,379.98/470.39
  6. Step 6: Final answer
    x = 576.92

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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.