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Finding the Fourth Proportional to 725.03, 999.78 and 491.75

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Solution

The fourth proportional to 725.03, 999.78 and 491.75 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.03 : 999.78 = 491.75 : x
  2. Step 2: Convert to fraction form
    725.03/999.78 = 491.75/x
  3. Step 3: Cross multiply
    725.03x = 999.78 × 491.75
  4. Step 4: Simplify right side
    725.03x = 491,641.82
  5. Step 5: Solve for x
    x = 491,641.82/725.03
  6. Step 6: Final answer
    x = 678.10

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1.5x scale

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.