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Finding the Fourth Proportional to 713.97, 1,070.97 and 213.59

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Solution

The fourth proportional to 713.97, 1,070.97 and 213.59 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.97 : 1,070.97 = 213.59 : x
  2. Step 2: Convert to fraction form
    713.97/1,070.97 = 213.59/x
  3. Step 3: Cross multiply
    713.97x = 1,070.97 × 213.59
  4. Step 4: Simplify right side
    713.97x = 228,746.34
  5. Step 5: Solve for x
    x = 228,746.34/713.97
  6. Step 6: Final answer
    x = 320.39

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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.