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Finding the Fourth Proportional to 727.42, 1,003.86 and 412.69

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Solution

The fourth proportional to 727.42, 1,003.86 and 412.69 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.42 : 1,003.86 = 412.69 : x
  2. Step 2: Convert to fraction form
    727.42/1,003.86 = 412.69/x
  3. Step 3: Cross multiply
    727.42x = 1,003.86 × 412.69
  4. Step 4: Simplify right side
    727.42x = 414,282.98
  5. Step 5: Solve for x
    x = 414,282.98/727.42
  6. Step 6: Final answer
    x = 569.52

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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.