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Finding the Fourth Proportional to 725.30, 1,001.01 and 414.74

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Solution

The fourth proportional to 725.30, 1,001.01 and 414.74 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.30 : 1,001.01 = 414.74 : x
  2. Step 2: Convert to fraction form
    725.30/1,001.01 = 414.74/x
  3. Step 3: Cross multiply
    725.30x = 1,001.01 × 414.74
  4. Step 4: Simplify right side
    725.30x = 415,158.89
  5. Step 5: Solve for x
    x = 415,158.89/725.30
  6. Step 6: Final answer
    x = 572.40

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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.