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Finding the Fourth Proportional to 855.93, 1,181.17 and 477.82

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Solution

The fourth proportional to 855.93, 1,181.17 and 477.82 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.93 : 1,181.17 = 477.82 : x
  2. Step 2: Convert to fraction form
    855.93/1,181.17 = 477.82/x
  3. Step 3: Cross multiply
    855.93x = 1,181.17 × 477.82
  4. Step 4: Simplify right side
    855.93x = 564,386.65
  5. Step 5: Solve for x
    x = 564,386.65/855.93
  6. Step 6: Final answer
    x = 659.38

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Double scale
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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.