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Finding the Fourth Proportional to 713.63, 1,070.45 and 200.63

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Solution

The fourth proportional to 713.63, 1,070.45 and 200.63 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.63 : 1,070.45 = 200.63 : x
  2. Step 2: Convert to fraction form
    713.63/1,070.45 = 200.63/x
  3. Step 3: Cross multiply
    713.63x = 1,070.45 × 200.63
  4. Step 4: Simplify right side
    713.63x = 214,758.03
  5. Step 5: Solve for x
    x = 214,758.03/713.63
  6. Step 6: Final answer
    x = 300.94

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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.