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Finding the Fourth Proportional to 855.41, 1,180.52 and 501.24

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Solution

The fourth proportional to 855.41, 1,180.52 and 501.24 is: 691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.41 : 1,180.52 = 501.24 : x
  2. Step 2: Convert to fraction form
    855.41/1,180.52 = 501.24/x
  3. Step 3: Cross multiply
    855.41x = 1,180.52 × 501.24
  4. Step 4: Simplify right side
    855.41x = 591,723.82
  5. Step 5: Solve for x
    x = 591,723.82/855.41
  6. Step 6: Final answer
    x = 691.74

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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.