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Finding the Fourth Proportional to 727.53, 1,095.55 and 523.51

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Solution

The fourth proportional to 727.53, 1,095.55 and 523.51 is: 788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.53 : 1,095.55 = 523.51 : x
  2. Step 2: Convert to fraction form
    727.53/1,095.55 = 523.51/x
  3. Step 3: Cross multiply
    727.53x = 1,095.55 × 523.51
  4. Step 4: Simplify right side
    727.53x = 573,527.33
  5. Step 5: Solve for x
    x = 573,527.33/727.53
  6. Step 6: Final answer
    x = 788.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.