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Finding the Fourth Proportional to 725.89, 1,001.74 and 411.21

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Solution

The fourth proportional to 725.89, 1,001.74 and 411.21 is: 567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.89 : 1,001.74 = 411.21 : x
  2. Step 2: Convert to fraction form
    725.89/1,001.74 = 411.21/x
  3. Step 3: Cross multiply
    725.89x = 1,001.74 × 411.21
  4. Step 4: Simplify right side
    725.89x = 411,925.51
  5. Step 5: Solve for x
    x = 411,925.51/725.89
  6. Step 6: Final answer
    x = 567.48

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Double scale
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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.