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Finding the Fourth Proportional to 855.63, 1,180.55 and 523.93

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Solution

The fourth proportional to 855.63, 1,180.55 and 523.93 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.63 : 1,180.55 = 523.93 : x
  2. Step 2: Convert to fraction form
    855.63/1,180.55 = 523.93/x
  3. Step 3: Cross multiply
    855.63x = 1,180.55 × 523.93
  4. Step 4: Simplify right side
    855.63x = 618,525.56
  5. Step 5: Solve for x
    x = 618,525.56/855.63
  6. Step 6: Final answer
    x = 722.89

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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.