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Finding the Fourth Proportional to 856.47, 1,181.93 and 463.49

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Solution

The fourth proportional to 856.47, 1,181.93 and 463.49 is: 639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,181.93 = 463.49 : x
  2. Step 2: Convert to fraction form
    856.47/1,181.93 = 463.49/x
  3. Step 3: Cross multiply
    856.47x = 1,181.93 × 463.49
  4. Step 4: Simplify right side
    856.47x = 547,813.95
  5. Step 5: Solve for x
    x = 547,813.95/856.47
  6. Step 6: Final answer
    x = 639.62

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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.