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Finding the Fourth Proportional to 708.63, 1,063.23 and 362.06

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Solution

The fourth proportional to 708.63, 1,063.23 and 362.06 is: 543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.63 : 1,063.23 = 362.06 : x
  2. Step 2: Convert to fraction form
    708.63/1,063.23 = 362.06/x
  3. Step 3: Cross multiply
    708.63x = 1,063.23 × 362.06
  4. Step 4: Simplify right side
    708.63x = 384,947.74
  5. Step 5: Solve for x
    x = 384,947.74/708.63
  6. Step 6: Final answer
    x = 543.23

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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.