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Finding the Fourth Proportional to 856.06, 1,181.36 and 463.08

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Solution

The fourth proportional to 856.06, 1,181.36 and 463.08 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.06 : 1,181.36 = 463.08 : x
  2. Step 2: Convert to fraction form
    856.06/1,181.36 = 463.08/x
  3. Step 3: Cross multiply
    856.06x = 1,181.36 × 463.08
  4. Step 4: Simplify right side
    856.06x = 547,064.19
  5. Step 5: Solve for x
    x = 547,064.19/856.06
  6. Step 6: Final answer
    x = 639.05

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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.