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Finding the Fourth Proportional to 856.25, 1,181.62 and 463.28

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Solution

The fourth proportional to 856.25, 1,181.62 and 463.28 is: 639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.25 : 1,181.62 = 463.28 : x
  2. Step 2: Convert to fraction form
    856.25/1,181.62 = 463.28/x
  3. Step 3: Cross multiply
    856.25x = 1,181.62 × 463.28
  4. Step 4: Simplify right side
    856.25x = 547,413.85
  5. Step 5: Solve for x
    x = 547,413.85/856.25
  6. Step 6: Final answer
    x = 639.31

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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.