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Finding the Fourth Proportional to 708.45, 1,063.13 and 384.05

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Solution

The fourth proportional to 708.45, 1,063.13 and 384.05 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.45 : 1,063.13 = 384.05 : x
  2. Step 2: Convert to fraction form
    708.45/1,063.13 = 384.05/x
  3. Step 3: Cross multiply
    708.45x = 1,063.13 × 384.05
  4. Step 4: Simplify right side
    708.45x = 408,287.84
  5. Step 5: Solve for x
    x = 408,287.84/708.45
  6. Step 6: Final answer
    x = 576.31

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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.