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Finding the Fourth Proportional to 725.64, 1,001.96 and 670.36

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Solution

The fourth proportional to 725.64, 1,001.96 and 670.36 is: 925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.64 : 1,001.96 = 670.36 : x
  2. Step 2: Convert to fraction form
    725.64/1,001.96 = 670.36/x
  3. Step 3: Cross multiply
    725.64x = 1,001.96 × 670.36
  4. Step 4: Simplify right side
    725.64x = 671,670.55
  5. Step 5: Solve for x
    x = 671,670.55/725.64
  6. Step 6: Final answer
    x = 925.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.