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Finding the Fourth Proportional to 856.54, 1,181.90 and 483.47

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Solution

The fourth proportional to 856.54, 1,181.90 and 483.47 is: 667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.54 : 1,181.90 = 483.47 : x
  2. Step 2: Convert to fraction form
    856.54/1,181.90 = 483.47/x
  3. Step 3: Cross multiply
    856.54x = 1,181.90 × 483.47
  4. Step 4: Simplify right side
    856.54x = 571,404.87
  5. Step 5: Solve for x
    x = 571,404.87/856.54
  6. Step 6: Final answer
    x = 667.11

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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.