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Finding the Fourth Proportional to 725.77, 1,001.53 and 406.69

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Solution

The fourth proportional to 725.77, 1,001.53 and 406.69 is: 561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.77 : 1,001.53 = 406.69 : x
  2. Step 2: Convert to fraction form
    725.77/1,001.53 = 406.69/x
  3. Step 3: Cross multiply
    725.77x = 1,001.53 × 406.69
  4. Step 4: Simplify right side
    725.77x = 407,312.24
  5. Step 5: Solve for x
    x = 407,312.24/725.77
  6. Step 6: Final answer
    x = 561.21

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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.